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Finding the Fourth Proportional to 10,009.38, 13,812.94 and 5,593.38

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Solution

The fourth proportional to 10,009.38, 13,812.94 and 5,593.38 is: 7,718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.38 : 13,812.94 = 5,593.38 : x
  2. Step 2: Convert to fraction form
    10,009.38/13,812.94 = 5,593.38/x
  3. Step 3: Cross multiply
    10,009.38x = 13,812.94 × 5,593.38
  4. Step 4: Simplify right side
    10,009.38x = 77,261,022.34
  5. Step 5: Solve for x
    x = 77,261,022.34/10,009.38
  6. Step 6: Final answer
    x = 7,718.86

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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.