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Finding the Fourth Proportional to 10,484.68, 15,727.02 and 3,559

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Solution

The fourth proportional to 10,484.68, 15,727.02 and 3,559 is: 5,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.68 : 15,727.02 = 3,559 : x
  2. Step 2: Convert to fraction form
    10,484.68/15,727.02 = 3,559/x
  3. Step 3: Cross multiply
    10,484.68x = 15,727.02 × 3,559
  4. Step 4: Simplify right side
    10,484.68x = 55,972,464.18
  5. Step 5: Solve for x
    x = 55,972,464.18/10,484.68
  6. Step 6: Final answer
    x = 5,338.50

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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.