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Finding the Fourth Proportional to 10,869.24, 14,999.62 and 5,901.24

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Solution

The fourth proportional to 10,869.24, 14,999.62 and 5,901.24 is: 8,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.24 : 14,999.62 = 5,901.24 : x
  2. Step 2: Convert to fraction form
    10,869.24/14,999.62 = 5,901.24/x
  3. Step 3: Cross multiply
    10,869.24x = 14,999.62 × 5,901.24
  4. Step 4: Simplify right side
    10,869.24x = 88,516,357.53
  5. Step 5: Solve for x
    x = 88,516,357.53/10,869.24
  6. Step 6: Final answer
    x = 8,143.75

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1.5x scale

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.