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Finding the Fourth Proportional to 8,462.64, 12,687.54 and 5,130.20

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Solution

The fourth proportional to 8,462.64, 12,687.54 and 5,130.20 is: 7,691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.64 : 12,687.54 = 5,130.20 : x
  2. Step 2: Convert to fraction form
    8,462.64/12,687.54 = 5,130.20/x
  3. Step 3: Cross multiply
    8,462.64x = 12,687.54 × 5,130.20
  4. Step 4: Simplify right side
    8,462.64x = 65,089,630.19
  5. Step 5: Solve for x
    x = 65,089,630.19/8,462.64
  6. Step 6: Final answer
    x = 7,691.41

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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.