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Finding the Fourth Proportional to 4,934.32, 7,404.90 and 4,463.74

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Solution

The fourth proportional to 4,934.32, 7,404.90 and 4,463.74 is: 6,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.32 : 7,404.90 = 4,463.74 : x
  2. Step 2: Convert to fraction form
    4,934.32/7,404.90 = 4,463.74/x
  3. Step 3: Cross multiply
    4,934.32x = 7,404.90 × 4,463.74
  4. Step 4: Simplify right side
    4,934.32x = 33,053,548.33
  5. Step 5: Solve for x
    x = 33,053,548.33/4,934.32
  6. Step 6: Final answer
    x = 6,698.70

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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.