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Finding the Fourth Proportional to 22,758.40, 34,137.60 and 7,177.60

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Solution

The fourth proportional to 22,758.40, 34,137.60 and 7,177.60 is: 10,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.40 : 34,137.60 = 7,177.60 : x
  2. Step 2: Convert to fraction form
    22,758.40/34,137.60 = 7,177.60/x
  3. Step 3: Cross multiply
    22,758.40x = 34,137.60 × 7,177.60
  4. Step 4: Simplify right side
    22,758.40x = 245,026,037.76
  5. Step 5: Solve for x
    x = 245,026,037.76/22,758.40
  6. Step 6: Final answer
    x = 10,766.40

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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.