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Finding the Fourth Proportional to 4,966.75, 7,449.96 and 2,332.78

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Solution

The fourth proportional to 4,966.75, 7,449.96 and 2,332.78 is: 3,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.75 : 7,449.96 = 2,332.78 : x
  2. Step 2: Convert to fraction form
    4,966.75/7,449.96 = 2,332.78/x
  3. Step 3: Cross multiply
    4,966.75x = 7,449.96 × 2,332.78
  4. Step 4: Simplify right side
    4,966.75x = 17,379,130.48
  5. Step 5: Solve for x
    x = 17,379,130.48/4,966.75
  6. Step 6: Final answer
    x = 3,499.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.