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Finding the Fourth Proportional to 11,750.86, 17,630.72 and 7,074.16

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Solution

The fourth proportional to 11,750.86, 17,630.72 and 7,074.16 is: 10,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.86 : 17,630.72 = 7,074.16 : x
  2. Step 2: Convert to fraction form
    11,750.86/17,630.72 = 7,074.16/x
  3. Step 3: Cross multiply
    11,750.86x = 17,630.72 × 7,074.16
  4. Step 4: Simplify right side
    11,750.86x = 124,722,534.20
  5. Step 5: Solve for x
    x = 124,722,534.20/11,750.86
  6. Step 6: Final answer
    x = 10,613.91

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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.