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Finding the Fourth Proportional to 10,494.34, 15,742.52 and 4,647.76

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Solution

The fourth proportional to 10,494.34, 15,742.52 and 4,647.76 is: 6,972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.34 : 15,742.52 = 4,647.76 : x
  2. Step 2: Convert to fraction form
    10,494.34/15,742.52 = 4,647.76/x
  3. Step 3: Cross multiply
    10,494.34x = 15,742.52 × 4,647.76
  4. Step 4: Simplify right side
    10,494.34x = 73,167,454.76
  5. Step 5: Solve for x
    x = 73,167,454.76/10,494.34
  6. Step 6: Final answer
    x = 6,972.09

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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.