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Finding the Fourth Proportional to 10,844.68, 16,250 and 6,459.76

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Solution

The fourth proportional to 10,844.68, 16,250 and 6,459.76 is: 9,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,844.68 : 16,250 = 6,459.76 : x
  2. Step 2: Convert to fraction form
    10,844.68/16,250 = 6,459.76/x
  3. Step 3: Cross multiply
    10,844.68x = 16,250 × 6,459.76
  4. Step 4: Simplify right side
    10,844.68x = 104,971,100
  5. Step 5: Solve for x
    x = 104,971,100/10,844.68
  6. Step 6: Final answer
    x = 9,679.50

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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.