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Finding the Fourth Proportional to 6,266.65, 8,642.61 and 4,470.70

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Solution

The fourth proportional to 6,266.65, 8,642.61 and 4,470.70 is: 6,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.65 : 8,642.61 = 4,470.70 : x
  2. Step 2: Convert to fraction form
    6,266.65/8,642.61 = 4,470.70/x
  3. Step 3: Cross multiply
    6,266.65x = 8,642.61 × 4,470.70
  4. Step 4: Simplify right side
    6,266.65x = 38,638,516.53
  5. Step 5: Solve for x
    x = 38,638,516.53/6,266.65
  6. Step 6: Final answer
    x = 6,165.74

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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.