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Finding the Fourth Proportional to 6,711.60, 10,057.80 and 4,657.20

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Solution

The fourth proportional to 6,711.60, 10,057.80 and 4,657.20 is: 6,979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.60 : 10,057.80 = 4,657.20 : x
  2. Step 2: Convert to fraction form
    6,711.60/10,057.80 = 4,657.20/x
  3. Step 3: Cross multiply
    6,711.60x = 10,057.80 × 4,657.20
  4. Step 4: Simplify right side
    6,711.60x = 46,841,186.16
  5. Step 5: Solve for x
    x = 46,841,186.16/6,711.60
  6. Step 6: Final answer
    x = 6,979.14

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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.