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Finding the Fourth Proportional to 12,613.80, 17,406.36 and 6,947.45

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Solution

The fourth proportional to 12,613.80, 17,406.36 and 6,947.45 is: 9,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.80 : 17,406.36 = 6,947.45 : x
  2. Step 2: Convert to fraction form
    12,613.80/17,406.36 = 6,947.45/x
  3. Step 3: Cross multiply
    12,613.80x = 17,406.36 × 6,947.45
  4. Step 4: Simplify right side
    12,613.80x = 120,929,728.75
  5. Step 5: Solve for x
    x = 120,929,728.75/12,613.80
  6. Step 6: Final answer
    x = 9,587.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.