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Finding the Fourth Proportional to 6,132.86, 9,199.08 and 1,973.15

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Solution

The fourth proportional to 6,132.86, 9,199.08 and 1,973.15 is: 2,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.86 : 9,199.08 = 1,973.15 : x
  2. Step 2: Convert to fraction form
    6,132.86/9,199.08 = 1,973.15/x
  3. Step 3: Cross multiply
    6,132.86x = 9,199.08 × 1,973.15
  4. Step 4: Simplify right side
    6,132.86x = 18,151,187.70
  5. Step 5: Solve for x
    x = 18,151,187.70/6,132.86
  6. Step 6: Final answer
    x = 2,959.66

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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.