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Finding the Fourth Proportional to 12,302.80, 18,454.20 and 4,094.80

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Solution

The fourth proportional to 12,302.80, 18,454.20 and 4,094.80 is: 6,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.80 : 18,454.20 = 4,094.80 : x
  2. Step 2: Convert to fraction form
    12,302.80/18,454.20 = 4,094.80/x
  3. Step 3: Cross multiply
    12,302.80x = 18,454.20 × 4,094.80
  4. Step 4: Simplify right side
    12,302.80x = 75,566,258.16
  5. Step 5: Solve for x
    x = 75,566,258.16/12,302.80
  6. Step 6: Final answer
    x = 6,142.20

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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.