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Finding the Fourth Proportional to 10,202.80, 15,304.20 and 2,808.40

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Solution

The fourth proportional to 10,202.80, 15,304.20 and 2,808.40 is: 4,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.80 : 15,304.20 = 2,808.40 : x
  2. Step 2: Convert to fraction form
    10,202.80/15,304.20 = 2,808.40/x
  3. Step 3: Cross multiply
    10,202.80x = 15,304.20 × 2,808.40
  4. Step 4: Simplify right side
    10,202.80x = 42,980,315.28
  5. Step 5: Solve for x
    x = 42,980,315.28/10,202.80
  6. Step 6: Final answer
    x = 4,212.60

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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.