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Finding the Fourth Proportional to 4,707.55, 6,500.55 and 2,942.17

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Solution

The fourth proportional to 4,707.55, 6,500.55 and 2,942.17 is: 4,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.55 : 6,500.55 = 2,942.17 : x
  2. Step 2: Convert to fraction form
    4,707.55/6,500.55 = 2,942.17/x
  3. Step 3: Cross multiply
    4,707.55x = 6,500.55 × 2,942.17
  4. Step 4: Simplify right side
    4,707.55x = 19,125,723.19
  5. Step 5: Solve for x
    x = 19,125,723.19/4,707.55
  6. Step 6: Final answer
    x = 4,062.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.