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Finding the Fourth Proportional to 7,700.96, 10,628.97 and 4,866.53

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Solution

The fourth proportional to 7,700.96, 10,628.97 and 4,866.53 is: 6,716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.96 : 10,628.97 = 4,866.53 : x
  2. Step 2: Convert to fraction form
    7,700.96/10,628.97 = 4,866.53/x
  3. Step 3: Cross multiply
    7,700.96x = 10,628.97 × 4,866.53
  4. Step 4: Simplify right side
    7,700.96x = 51,726,123.90
  5. Step 5: Solve for x
    x = 51,726,123.90/7,700.96
  6. Step 6: Final answer
    x = 6,716.85

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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.