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Finding the Fourth Proportional to 25,775.82, 38,667 and 9,132.60

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Solution

The fourth proportional to 25,775.82, 38,667 and 9,132.60 is: 13,700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,775.82 : 38,667 = 9,132.60 : x
  2. Step 2: Convert to fraction form
    25,775.82/38,667 = 9,132.60/x
  3. Step 3: Cross multiply
    25,775.82x = 38,667 × 9,132.60
  4. Step 4: Simplify right side
    25,775.82x = 353,130,244.20
  5. Step 5: Solve for x
    x = 353,130,244.20/25,775.82
  6. Step 6: Final answer
    x = 13,700.06

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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.