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Finding the Fourth Proportional to 9,078.36, 13,592.88 and 8,340.24

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Solution

The fourth proportional to 9,078.36, 13,592.88 and 8,340.24 is: 12,487.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.36 : 13,592.88 = 8,340.24 : x
  2. Step 2: Convert to fraction form
    9,078.36/13,592.88 = 8,340.24/x
  3. Step 3: Cross multiply
    9,078.36x = 13,592.88 × 8,340.24
  4. Step 4: Simplify right side
    9,078.36x = 113,367,881.49
  5. Step 5: Solve for x
    x = 113,367,881.49/9,078.36
  6. Step 6: Final answer
    x = 12,487.70

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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.