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Finding the Fourth Proportional to 11,532.54, 15,901.47 and 8,074.38

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Solution

The fourth proportional to 11,532.54, 15,901.47 and 8,074.38 is: 11,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.54 : 15,901.47 = 8,074.38 : x
  2. Step 2: Convert to fraction form
    11,532.54/15,901.47 = 8,074.38/x
  3. Step 3: Cross multiply
    11,532.54x = 15,901.47 × 8,074.38
  4. Step 4: Simplify right side
    11,532.54x = 128,394,511.34
  5. Step 5: Solve for x
    x = 128,394,511.34/11,532.54
  6. Step 6: Final answer
    x = 11,133.24

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Half scale
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Double scale
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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.