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Finding the Fourth Proportional to 6,095.85, 9,147.17 and 2,975.90

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Solution

The fourth proportional to 6,095.85, 9,147.17 and 2,975.90 is: 4,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.85 : 9,147.17 = 2,975.90 : x
  2. Step 2: Convert to fraction form
    6,095.85/9,147.17 = 2,975.90/x
  3. Step 3: Cross multiply
    6,095.85x = 9,147.17 × 2,975.90
  4. Step 4: Simplify right side
    6,095.85x = 27,221,002.59
  5. Step 5: Solve for x
    x = 27,221,002.59/6,095.85
  6. Step 6: Final answer
    x = 4,465.50

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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.