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Finding the Fourth Proportional to 12,883.68, 17,779.92 and 7,505.76

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Solution

The fourth proportional to 12,883.68, 17,779.92 and 7,505.76 is: 10,358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.68 : 17,779.92 = 7,505.76 : x
  2. Step 2: Convert to fraction form
    12,883.68/17,779.92 = 7,505.76/x
  3. Step 3: Cross multiply
    12,883.68x = 17,779.92 × 7,505.76
  4. Step 4: Simplify right side
    12,883.68x = 133,451,812.34
  5. Step 5: Solve for x
    x = 133,451,812.34/12,883.68
  6. Step 6: Final answer
    x = 10,358.21

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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.