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Finding the Fourth Proportional to 12,340.52, 18,497.10 and 9,409.16

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Solution

The fourth proportional to 12,340.52, 18,497.10 and 9,409.16 is: 14,103.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.52 : 18,497.10 = 9,409.16 : x
  2. Step 2: Convert to fraction form
    12,340.52/18,497.10 = 9,409.16/x
  3. Step 3: Cross multiply
    12,340.52x = 18,497.10 × 9,409.16
  4. Step 4: Simplify right side
    12,340.52x = 174,042,173.44
  5. Step 5: Solve for x
    x = 174,042,173.44/12,340.52
  6. Step 6: Final answer
    x = 14,103.31

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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.