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Finding the Fourth Proportional to 10,202.74, 15,304.10 and 2,807.24

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Solution

The fourth proportional to 10,202.74, 15,304.10 and 2,807.24 is: 4,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.74 : 15,304.10 = 2,807.24 : x
  2. Step 2: Convert to fraction form
    10,202.74/15,304.10 = 2,807.24/x
  3. Step 3: Cross multiply
    10,202.74x = 15,304.10 × 2,807.24
  4. Step 4: Simplify right side
    10,202.74x = 42,962,281.68
  5. Step 5: Solve for x
    x = 42,962,281.68/10,202.74
  6. Step 6: Final answer
    x = 4,210.86

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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.