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Finding the Fourth Proportional to 12,275.20, 18,412.78 and 3,041.20

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Solution

The fourth proportional to 12,275.20, 18,412.78 and 3,041.20 is: 4,561.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.20 : 18,412.78 = 3,041.20 : x
  2. Step 2: Convert to fraction form
    12,275.20/18,412.78 = 3,041.20/x
  3. Step 3: Cross multiply
    12,275.20x = 18,412.78 × 3,041.20
  4. Step 4: Simplify right side
    12,275.20x = 55,996,946.54
  5. Step 5: Solve for x
    x = 55,996,946.54/12,275.20
  6. Step 6: Final answer
    x = 4,561.80

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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.