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Finding the Fourth Proportional to 8,457.60, 12,686.76 and 2,614.32

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Solution

The fourth proportional to 8,457.60, 12,686.76 and 2,614.32 is: 3,921.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.60 : 12,686.76 = 2,614.32 : x
  2. Step 2: Convert to fraction form
    8,457.60/12,686.76 = 2,614.32/x
  3. Step 3: Cross multiply
    8,457.60x = 12,686.76 × 2,614.32
  4. Step 4: Simplify right side
    8,457.60x = 33,167,250.40
  5. Step 5: Solve for x
    x = 33,167,250.40/8,457.60
  6. Step 6: Final answer
    x = 3,921.59

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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.