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Finding the Fourth Proportional to 6,875.50, 9,490.65 and 4,081

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Solution

The fourth proportional to 6,875.50, 9,490.65 and 4,081 is: 5,633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.50 : 9,490.65 = 4,081 : x
  2. Step 2: Convert to fraction form
    6,875.50/9,490.65 = 4,081/x
  3. Step 3: Cross multiply
    6,875.50x = 9,490.65 × 4,081
  4. Step 4: Simplify right side
    6,875.50x = 38,731,342.65
  5. Step 5: Solve for x
    x = 38,731,342.65/6,875.50
  6. Step 6: Final answer
    x = 5,633.24

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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.