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Finding the Fourth Proportional to 9,007.14, 13,509.11 and 2,432.47

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Solution

The fourth proportional to 9,007.14, 13,509.11 and 2,432.47 is: 3,648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007.14 : 13,509.11 = 2,432.47 : x
  2. Step 2: Convert to fraction form
    9,007.14/13,509.11 = 2,432.47/x
  3. Step 3: Cross multiply
    9,007.14x = 13,509.11 × 2,432.47
  4. Step 4: Simplify right side
    9,007.14x = 32,860,504.80
  5. Step 5: Solve for x
    x = 32,860,504.80/9,007.14
  6. Step 6: Final answer
    x = 3,648.27

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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.