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Finding the Fourth Proportional to 7,632, 10,524.96 and 4,981.44

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Solution

The fourth proportional to 7,632, 10,524.96 and 4,981.44 is: 6,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632 : 10,524.96 = 4,981.44 : x
  2. Step 2: Convert to fraction form
    7,632/10,524.96 = 4,981.44/x
  3. Step 3: Cross multiply
    7,632x = 10,524.96 × 4,981.44
  4. Step 4: Simplify right side
    7,632x = 52,429,456.74
  5. Step 5: Solve for x
    x = 52,429,456.74/7,632
  6. Step 6: Final answer
    x = 6,869.69

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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.