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Finding the Fourth Proportional to 9,451.60, 14,143.80 and 8,232.40

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Solution

The fourth proportional to 9,451.60, 14,143.80 and 8,232.40 is: 12,319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.60 : 14,143.80 = 8,232.40 : x
  2. Step 2: Convert to fraction form
    9,451.60/14,143.80 = 8,232.40/x
  3. Step 3: Cross multiply
    9,451.60x = 14,143.80 × 8,232.40
  4. Step 4: Simplify right side
    9,451.60x = 116,437,419.12
  5. Step 5: Solve for x
    x = 116,437,419.12/9,451.60
  6. Step 6: Final answer
    x = 12,319.33

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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.