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Finding the Fourth Proportional to 6,129.42, 9,197.63 and 5,101.86

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Solution

The fourth proportional to 6,129.42, 9,197.63 and 5,101.86 is: 7,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.42 : 9,197.63 = 5,101.86 : x
  2. Step 2: Convert to fraction form
    6,129.42/9,197.63 = 5,101.86/x
  3. Step 3: Cross multiply
    6,129.42x = 9,197.63 × 5,101.86
  4. Step 4: Simplify right side
    6,129.42x = 46,925,020.59
  5. Step 5: Solve for x
    x = 46,925,020.59/6,129.42
  6. Step 6: Final answer
    x = 7,655.70

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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.