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Finding the Fourth Proportional to 7,071.68, 9,755.73 and 4,552.90

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Solution

The fourth proportional to 7,071.68, 9,755.73 and 4,552.90 is: 6,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.68 : 9,755.73 = 4,552.90 : x
  2. Step 2: Convert to fraction form
    7,071.68/9,755.73 = 4,552.90/x
  3. Step 3: Cross multiply
    7,071.68x = 9,755.73 × 4,552.90
  4. Step 4: Simplify right side
    7,071.68x = 44,416,838.73
  5. Step 5: Solve for x
    x = 44,416,838.73/7,071.68
  6. Step 6: Final answer
    x = 6,280.94

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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.