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Finding the Fourth Proportional to 9,342.16, 13,940.36 and 8,514.16

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Solution

The fourth proportional to 9,342.16, 13,940.36 and 8,514.16 is: 12,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.16 : 13,940.36 = 8,514.16 : x
  2. Step 2: Convert to fraction form
    9,342.16/13,940.36 = 8,514.16/x
  3. Step 3: Cross multiply
    9,342.16x = 13,940.36 × 8,514.16
  4. Step 4: Simplify right side
    9,342.16x = 118,690,455.50
  5. Step 5: Solve for x
    x = 118,690,455.50/9,342.16
  6. Step 6: Final answer
    x = 12,704.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.