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Finding the Fourth Proportional to 22,771.57, 34,160.55 and 7,977.10

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Solution

The fourth proportional to 22,771.57, 34,160.55 and 7,977.10 is: 11,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.57 : 34,160.55 = 7,977.10 : x
  2. Step 2: Convert to fraction form
    22,771.57/34,160.55 = 7,977.10/x
  3. Step 3: Cross multiply
    22,771.57x = 34,160.55 × 7,977.10
  4. Step 4: Simplify right side
    22,771.57x = 272,502,123.41
  5. Step 5: Solve for x
    x = 272,502,123.41/22,771.57
  6. Step 6: Final answer
    x = 11,966.77

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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.