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Finding the Fourth Proportional to 25,885.97, 38,829.01 and 7,166.06

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Solution

The fourth proportional to 25,885.97, 38,829.01 and 7,166.06 is: 10,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,885.97 : 38,829.01 = 7,166.06 : x
  2. Step 2: Convert to fraction form
    25,885.97/38,829.01 = 7,166.06/x
  3. Step 3: Cross multiply
    25,885.97x = 38,829.01 × 7,166.06
  4. Step 4: Simplify right side
    25,885.97x = 278,251,015.40
  5. Step 5: Solve for x
    x = 278,251,015.40/25,885.97
  6. Step 6: Final answer
    x = 10,749.11

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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.