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Finding the Fourth Proportional to 4,972.08, 7,458.12 and 4,862.74

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Solution

The fourth proportional to 4,972.08, 7,458.12 and 4,862.74 is: 7,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.08 : 7,458.12 = 4,862.74 : x
  2. Step 2: Convert to fraction form
    4,972.08/7,458.12 = 4,862.74/x
  3. Step 3: Cross multiply
    4,972.08x = 7,458.12 × 4,862.74
  4. Step 4: Simplify right side
    4,972.08x = 36,266,898.45
  5. Step 5: Solve for x
    x = 36,266,898.45/4,972.08
  6. Step 6: Final answer
    x = 7,294.11

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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.