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Finding the Fourth Proportional to 12,567.80, 17,342.88 and 6,901.44

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Solution

The fourth proportional to 12,567.80, 17,342.88 and 6,901.44 is: 9,523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.80 : 17,342.88 = 6,901.44 : x
  2. Step 2: Convert to fraction form
    12,567.80/17,342.88 = 6,901.44/x
  3. Step 3: Cross multiply
    12,567.80x = 17,342.88 × 6,901.44
  4. Step 4: Simplify right side
    12,567.80x = 119,690,845.75
  5. Step 5: Solve for x
    x = 119,690,845.75/12,567.80
  6. Step 6: Final answer
    x = 9,523.61

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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.