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Finding the Fourth Proportional to 10,282.70, 15,424.05 and 9,748.10

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Solution

The fourth proportional to 10,282.70, 15,424.05 and 9,748.10 is: 14,622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282.70 : 15,424.05 = 9,748.10 : x
  2. Step 2: Convert to fraction form
    10,282.70/15,424.05 = 9,748.10/x
  3. Step 3: Cross multiply
    10,282.70x = 15,424.05 × 9,748.10
  4. Step 4: Simplify right side
    10,282.70x = 150,355,181.81
  5. Step 5: Solve for x
    x = 150,355,181.81/10,282.70
  6. Step 6: Final answer
    x = 14,622.15

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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.