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Finding the Fourth Proportional to 7,732.50, 10,670.91 and 4,591.38

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Solution

The fourth proportional to 7,732.50, 10,670.91 and 4,591.38 is: 6,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.50 : 10,670.91 = 4,591.38 : x
  2. Step 2: Convert to fraction form
    7,732.50/10,670.91 = 4,591.38/x
  3. Step 3: Cross multiply
    7,732.50x = 10,670.91 × 4,591.38
  4. Step 4: Simplify right side
    7,732.50x = 48,994,202.76
  5. Step 5: Solve for x
    x = 48,994,202.76/7,732.50
  6. Step 6: Final answer
    x = 6,336.14

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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.