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Finding the Fourth Proportional to 6,532.59, 9,008.83 and 5,038.14

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Solution

The fourth proportional to 6,532.59, 9,008.83 and 5,038.14 is: 6,947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.59 : 9,008.83 = 5,038.14 : x
  2. Step 2: Convert to fraction form
    6,532.59/9,008.83 = 5,038.14/x
  3. Step 3: Cross multiply
    6,532.59x = 9,008.83 × 5,038.14
  4. Step 4: Simplify right side
    6,532.59x = 45,387,689.14
  5. Step 5: Solve for x
    x = 45,387,689.14/6,532.59
  6. Step 6: Final answer
    x = 6,947.89

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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.