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Finding the Fourth Proportional to 6,343.04, 8,761.76 and 4,869.17

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Solution

The fourth proportional to 6,343.04, 8,761.76 and 4,869.17 is: 6,725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.04 : 8,761.76 = 4,869.17 : x
  2. Step 2: Convert to fraction form
    6,343.04/8,761.76 = 4,869.17/x
  3. Step 3: Cross multiply
    6,343.04x = 8,761.76 × 4,869.17
  4. Step 4: Simplify right side
    6,343.04x = 42,662,430.78
  5. Step 5: Solve for x
    x = 42,662,430.78/6,343.04
  6. Step 6: Final answer
    x = 6,725.87

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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.