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Finding the Fourth Proportional to 6,614.56, 9,128.19 and 4,257.46

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Solution

The fourth proportional to 6,614.56, 9,128.19 and 4,257.46 is: 5,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.56 : 9,128.19 = 4,257.46 : x
  2. Step 2: Convert to fraction form
    6,614.56/9,128.19 = 4,257.46/x
  3. Step 3: Cross multiply
    6,614.56x = 9,128.19 × 4,257.46
  4. Step 4: Simplify right side
    6,614.56x = 38,862,903.80
  5. Step 5: Solve for x
    x = 38,862,903.80/6,614.56
  6. Step 6: Final answer
    x = 5,875.36

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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.