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Finding the Fourth Proportional to 4,007.97, 6,011.96 and 1,543.95

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Solution

The fourth proportional to 4,007.97, 6,011.96 and 1,543.95 is: 2,315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.97 : 6,011.96 = 1,543.95 : x
  2. Step 2: Convert to fraction form
    4,007.97/6,011.96 = 1,543.95/x
  3. Step 3: Cross multiply
    4,007.97x = 6,011.96 × 1,543.95
  4. Step 4: Simplify right side
    4,007.97x = 9,282,157.92
  5. Step 5: Solve for x
    x = 9,282,157.92/4,007.97
  6. Step 6: Final answer
    x = 2,315.93

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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.