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Finding the Fourth Proportional to 22,909.68, 34,332.12 and 9,748.80

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Solution

The fourth proportional to 22,909.68, 34,332.12 and 9,748.80 is: 14,609.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.68 : 34,332.12 = 9,748.80 : x
  2. Step 2: Convert to fraction form
    22,909.68/34,332.12 = 9,748.80/x
  3. Step 3: Cross multiply
    22,909.68x = 34,332.12 × 9,748.80
  4. Step 4: Simplify right side
    22,909.68x = 334,696,971.46
  5. Step 5: Solve for x
    x = 334,696,971.46/22,909.68
  6. Step 6: Final answer
    x = 14,609.41

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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.