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Finding the Fourth Proportional to 4,767.32, 7,150.98 and 2,711

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Solution

The fourth proportional to 4,767.32, 7,150.98 and 2,711 is: 4,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.32 : 7,150.98 = 2,711 : x
  2. Step 2: Convert to fraction form
    4,767.32/7,150.98 = 2,711/x
  3. Step 3: Cross multiply
    4,767.32x = 7,150.98 × 2,711
  4. Step 4: Simplify right side
    4,767.32x = 19,386,306.78
  5. Step 5: Solve for x
    x = 19,386,306.78/4,767.32
  6. Step 6: Final answer
    x = 4,066.50

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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.