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Finding the Fourth Proportional to 10,002.40, 14,996.40 and 5,621.20

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Solution

The fourth proportional to 10,002.40, 14,996.40 and 5,621.20 is: 8,427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.40 : 14,996.40 = 5,621.20 : x
  2. Step 2: Convert to fraction form
    10,002.40/14,996.40 = 5,621.20/x
  3. Step 3: Cross multiply
    10,002.40x = 14,996.40 × 5,621.20
  4. Step 4: Simplify right side
    10,002.40x = 84,297,763.68
  5. Step 5: Solve for x
    x = 84,297,763.68/10,002.40
  6. Step 6: Final answer
    x = 8,427.75

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1.5x scale

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.