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Finding the Fourth Proportional to 9,175.20, 13,762.80 and 8,462.40

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Solution

The fourth proportional to 9,175.20, 13,762.80 and 8,462.40 is: 12,693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.20 : 13,762.80 = 8,462.40 : x
  2. Step 2: Convert to fraction form
    9,175.20/13,762.80 = 8,462.40/x
  3. Step 3: Cross multiply
    9,175.20x = 13,762.80 × 8,462.40
  4. Step 4: Simplify right side
    9,175.20x = 116,466,318.72
  5. Step 5: Solve for x
    x = 116,466,318.72/9,175.20
  6. Step 6: Final answer
    x = 12,693.60

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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.