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Finding the Fourth Proportional to 4,607.46, 6,909.68 and 1,974.90

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Solution

The fourth proportional to 4,607.46, 6,909.68 and 1,974.90 is: 2,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.46 : 6,909.68 = 1,974.90 : x
  2. Step 2: Convert to fraction form
    4,607.46/6,909.68 = 1,974.90/x
  3. Step 3: Cross multiply
    4,607.46x = 6,909.68 × 1,974.90
  4. Step 4: Simplify right side
    4,607.46x = 13,645,927.03
  5. Step 5: Solve for x
    x = 13,645,927.03/4,607.46
  6. Step 6: Final answer
    x = 2,961.70

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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.