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Finding the Fourth Proportional to 13,007.32, 17,949.96 and 7,038.86

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Solution

The fourth proportional to 13,007.32, 17,949.96 and 7,038.86 is: 9,713.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.32 : 17,949.96 = 7,038.86 : x
  2. Step 2: Convert to fraction form
    13,007.32/17,949.96 = 7,038.86/x
  3. Step 3: Cross multiply
    13,007.32x = 17,949.96 × 7,038.86
  4. Step 4: Simplify right side
    13,007.32x = 126,347,165.70
  5. Step 5: Solve for x
    x = 126,347,165.70/13,007.32
  6. Step 6: Final answer
    x = 9,713.55

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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.