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Finding the Fourth Proportional to 16,567.88, 24,857.92 and 7,687.46

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Solution

The fourth proportional to 16,567.88, 24,857.92 and 7,687.46 is: 11,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,567.88 : 24,857.92 = 7,687.46 : x
  2. Step 2: Convert to fraction form
    16,567.88/24,857.92 = 7,687.46/x
  3. Step 3: Cross multiply
    16,567.88x = 24,857.92 × 7,687.46
  4. Step 4: Simplify right side
    16,567.88x = 191,094,265.68
  5. Step 5: Solve for x
    x = 191,094,265.68/16,567.88
  6. Step 6: Final answer
    x = 11,534.02

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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.