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Finding the Fourth Proportional to 9,277.76, 13,916.68 and 2,257.76

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Solution

The fourth proportional to 9,277.76, 13,916.68 and 2,257.76 is: 3,386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.76 : 13,916.68 = 2,257.76 : x
  2. Step 2: Convert to fraction form
    9,277.76/13,916.68 = 2,257.76/x
  3. Step 3: Cross multiply
    9,277.76x = 13,916.68 × 2,257.76
  4. Step 4: Simplify right side
    9,277.76x = 31,420,523.44
  5. Step 5: Solve for x
    x = 31,420,523.44/9,277.76
  6. Step 6: Final answer
    x = 3,386.65

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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.