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Finding the Fourth Proportional to 7,732.88, 10,671.18 and 4,589

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Solution

The fourth proportional to 7,732.88, 10,671.18 and 4,589 is: 6,332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.88 : 10,671.18 = 4,589 : x
  2. Step 2: Convert to fraction form
    7,732.88/10,671.18 = 4,589/x
  3. Step 3: Cross multiply
    7,732.88x = 10,671.18 × 4,589
  4. Step 4: Simplify right side
    7,732.88x = 48,970,045.02
  5. Step 5: Solve for x
    x = 48,970,045.02/7,732.88
  6. Step 6: Final answer
    x = 6,332.70

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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.