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Finding the Fourth Proportional to 10,007.52, 15,009.84 and 5,849.44

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Solution

The fourth proportional to 10,007.52, 15,009.84 and 5,849.44 is: 8,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.52 : 15,009.84 = 5,849.44 : x
  2. Step 2: Convert to fraction form
    10,007.52/15,009.84 = 5,849.44/x
  3. Step 3: Cross multiply
    10,007.52x = 15,009.84 × 5,849.44
  4. Step 4: Simplify right side
    10,007.52x = 87,799,158.49
  5. Step 5: Solve for x
    x = 87,799,158.49/10,007.52
  6. Step 6: Final answer
    x = 8,773.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.