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Finding the Fourth Proportional to 9,574.70, 13,213.12 and 5,382.68

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Solution

The fourth proportional to 9,574.70, 13,213.12 and 5,382.68 is: 7,428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.70 : 13,213.12 = 5,382.68 : x
  2. Step 2: Convert to fraction form
    9,574.70/13,213.12 = 5,382.68/x
  3. Step 3: Cross multiply
    9,574.70x = 13,213.12 × 5,382.68
  4. Step 4: Simplify right side
    9,574.70x = 71,121,996.76
  5. Step 5: Solve for x
    x = 71,121,996.76/9,574.70
  6. Step 6: Final answer
    x = 7,428.12

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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.