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Finding the Fourth Proportional to 11,532.47, 15,914.99 and 6,817.19

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Solution

The fourth proportional to 11,532.47, 15,914.99 and 6,817.19 is: 9,407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.47 : 15,914.99 = 6,817.19 : x
  2. Step 2: Convert to fraction form
    11,532.47/15,914.99 = 6,817.19/x
  3. Step 3: Cross multiply
    11,532.47x = 15,914.99 × 6,817.19
  4. Step 4: Simplify right side
    11,532.47x = 108,495,476.59
  5. Step 5: Solve for x
    x = 108,495,476.59/11,532.47
  6. Step 6: Final answer
    x = 9,407.83

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.