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Finding the Fourth Proportional to 4,967.70, 7,452.51 and 4,641.30

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Solution

The fourth proportional to 4,967.70, 7,452.51 and 4,641.30 is: 6,962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.70 : 7,452.51 = 4,641.30 : x
  2. Step 2: Convert to fraction form
    4,967.70/7,452.51 = 4,641.30/x
  3. Step 3: Cross multiply
    4,967.70x = 7,452.51 × 4,641.30
  4. Step 4: Simplify right side
    4,967.70x = 34,589,334.66
  5. Step 5: Solve for x
    x = 34,589,334.66/4,967.70
  6. Step 6: Final answer
    x = 6,962.85

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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.