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Finding the Fourth Proportional to 7,737.70, 10,671.15 and 6,245.14

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Solution

The fourth proportional to 7,737.70, 10,671.15 and 6,245.14 is: 8,612.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.70 : 10,671.15 = 6,245.14 : x
  2. Step 2: Convert to fraction form
    7,737.70/10,671.15 = 6,245.14/x
  3. Step 3: Cross multiply
    7,737.70x = 10,671.15 × 6,245.14
  4. Step 4: Simplify right side
    7,737.70x = 66,642,825.71
  5. Step 5: Solve for x
    x = 66,642,825.71/7,737.70
  6. Step 6: Final answer
    x = 8,612.74

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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.