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Finding the Fourth Proportional to 5,009.97, 6,913.47 and 2,771.76

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Solution

The fourth proportional to 5,009.97, 6,913.47 and 2,771.76 is: 3,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.97 : 6,913.47 = 2,771.76 : x
  2. Step 2: Convert to fraction form
    5,009.97/6,913.47 = 2,771.76/x
  3. Step 3: Cross multiply
    5,009.97x = 6,913.47 × 2,771.76
  4. Step 4: Simplify right side
    5,009.97x = 19,162,479.61
  5. Step 5: Solve for x
    x = 19,162,479.61/5,009.97
  6. Step 6: Final answer
    x = 3,824.87

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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.