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Finding the Fourth Proportional to 6,657.44, 9,186 and 4,560.80

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Solution

The fourth proportional to 6,657.44, 9,186 and 4,560.80 is: 6,293.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.44 : 9,186 = 4,560.80 : x
  2. Step 2: Convert to fraction form
    6,657.44/9,186 = 4,560.80/x
  3. Step 3: Cross multiply
    6,657.44x = 9,186 × 4,560.80
  4. Step 4: Simplify right side
    6,657.44x = 41,895,508.80
  5. Step 5: Solve for x
    x = 41,895,508.80/6,657.44
  6. Step 6: Final answer
    x = 6,293.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.