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Finding the Fourth Proportional to 10,382.80, 15,574.20 and 3,809.20

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Solution

The fourth proportional to 10,382.80, 15,574.20 and 3,809.20 is: 5,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.80 : 15,574.20 = 3,809.20 : x
  2. Step 2: Convert to fraction form
    10,382.80/15,574.20 = 3,809.20/x
  3. Step 3: Cross multiply
    10,382.80x = 15,574.20 × 3,809.20
  4. Step 4: Simplify right side
    10,382.80x = 59,325,242.64
  5. Step 5: Solve for x
    x = 59,325,242.64/10,382.80
  6. Step 6: Final answer
    x = 5,713.80

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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.