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Finding the Fourth Proportional to 25,734.80, 38,602.20 and 7,266.80

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Solution

The fourth proportional to 25,734.80, 38,602.20 and 7,266.80 is: 10,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,734.80 : 38,602.20 = 7,266.80 : x
  2. Step 2: Convert to fraction form
    25,734.80/38,602.20 = 7,266.80/x
  3. Step 3: Cross multiply
    25,734.80x = 38,602.20 × 7,266.80
  4. Step 4: Simplify right side
    25,734.80x = 280,514,466.96
  5. Step 5: Solve for x
    x = 280,514,466.96/25,734.80
  6. Step 6: Final answer
    x = 10,900.20

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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.