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Finding the Fourth Proportional to 7,706.72, 10,646.16 and 6,132.80

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Solution

The fourth proportional to 7,706.72, 10,646.16 and 6,132.80 is: 8,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.72 : 10,646.16 = 6,132.80 : x
  2. Step 2: Convert to fraction form
    7,706.72/10,646.16 = 6,132.80/x
  3. Step 3: Cross multiply
    7,706.72x = 10,646.16 × 6,132.80
  4. Step 4: Simplify right side
    7,706.72x = 65,290,770.05
  5. Step 5: Solve for x
    x = 65,290,770.05/7,706.72
  6. Step 6: Final answer
    x = 8,471.93

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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.