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Finding the Fourth Proportional to 7,773.67, 10,711.74 and 7,354.90

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Solution

The fourth proportional to 7,773.67, 10,711.74 and 7,354.90 is: 10,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.67 : 10,711.74 = 7,354.90 : x
  2. Step 2: Convert to fraction form
    7,773.67/10,711.74 = 7,354.90/x
  3. Step 3: Cross multiply
    7,773.67x = 10,711.74 × 7,354.90
  4. Step 4: Simplify right side
    7,773.67x = 78,783,817.50
  5. Step 5: Solve for x
    x = 78,783,817.50/7,773.67
  6. Step 6: Final answer
    x = 10,134.70

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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.