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Finding the Fourth Proportional to 6,095.52, 9,143.20 and 1,478.56

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Solution

The fourth proportional to 6,095.52, 9,143.20 and 1,478.56 is: 2,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.52 : 9,143.20 = 1,478.56 : x
  2. Step 2: Convert to fraction form
    6,095.52/9,143.20 = 1,478.56/x
  3. Step 3: Cross multiply
    6,095.52x = 9,143.20 × 1,478.56
  4. Step 4: Simplify right side
    6,095.52x = 13,518,769.79
  5. Step 5: Solve for x
    x = 13,518,769.79/6,095.52
  6. Step 6: Final answer
    x = 2,217.82

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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.