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Finding the Fourth Proportional to 15,659, 23,489.61 and 6,299.07

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Solution

The fourth proportional to 15,659, 23,489.61 and 6,299.07 is: 9,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,659 : 23,489.61 = 6,299.07 : x
  2. Step 2: Convert to fraction form
    15,659/23,489.61 = 6,299.07/x
  3. Step 3: Cross multiply
    15,659x = 23,489.61 × 6,299.07
  4. Step 4: Simplify right side
    15,659x = 147,962,697.66
  5. Step 5: Solve for x
    x = 147,962,697.66/15,659
  6. Step 6: Final answer
    x = 9,449.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.