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Finding the Fourth Proportional to 6,311.46, 8,700.70 and 4,417.17

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Solution

The fourth proportional to 6,311.46, 8,700.70 and 4,417.17 is: 6,089.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.46 : 8,700.70 = 4,417.17 : x
  2. Step 2: Convert to fraction form
    6,311.46/8,700.70 = 4,417.17/x
  3. Step 3: Cross multiply
    6,311.46x = 8,700.70 × 4,417.17
  4. Step 4: Simplify right side
    6,311.46x = 38,432,471.02
  5. Step 5: Solve for x
    x = 38,432,471.02/6,311.46
  6. Step 6: Final answer
    x = 6,089.32

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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.