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Finding the Fourth Proportional to 11,897.28, 17,854.56 and 6,713.28

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Solution

The fourth proportional to 11,897.28, 17,854.56 and 6,713.28 is: 10,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.28 : 17,854.56 = 6,713.28 : x
  2. Step 2: Convert to fraction form
    11,897.28/17,854.56 = 6,713.28/x
  3. Step 3: Cross multiply
    11,897.28x = 17,854.56 × 6,713.28
  4. Step 4: Simplify right side
    11,897.28x = 119,862,660.56
  5. Step 5: Solve for x
    x = 119,862,660.56/11,897.28
  6. Step 6: Final answer
    x = 10,074.80

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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.