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Finding the Fourth Proportional to 12,532.90, 17,294.97 and 7,226.98

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Solution

The fourth proportional to 12,532.90, 17,294.97 and 7,226.98 is: 9,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.90 : 17,294.97 = 7,226.98 : x
  2. Step 2: Convert to fraction form
    12,532.90/17,294.97 = 7,226.98/x
  3. Step 3: Cross multiply
    12,532.90x = 17,294.97 × 7,226.98
  4. Step 4: Simplify right side
    12,532.90x = 124,990,402.29
  5. Step 5: Solve for x
    x = 124,990,402.29/12,532.90
  6. Step 6: Final answer
    x = 9,972.98

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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.