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Finding the Fourth Proportional to 6,267.65, 8,643.99 and 4,471.70

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Solution

The fourth proportional to 6,267.65, 8,643.99 and 4,471.70 is: 6,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.65 : 8,643.99 = 4,471.70 : x
  2. Step 2: Convert to fraction form
    6,267.65/8,643.99 = 4,471.70/x
  3. Step 3: Cross multiply
    6,267.65x = 8,643.99 × 4,471.70
  4. Step 4: Simplify right side
    6,267.65x = 38,653,330.08
  5. Step 5: Solve for x
    x = 38,653,330.08/6,267.65
  6. Step 6: Final answer
    x = 6,167.12

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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.