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Finding the Fourth Proportional to 9,256.82, 12,773.84 and 5,277.87

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Solution

The fourth proportional to 9,256.82, 12,773.84 and 5,277.87 is: 7,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.82 : 12,773.84 = 5,277.87 : x
  2. Step 2: Convert to fraction form
    9,256.82/12,773.84 = 5,277.87/x
  3. Step 3: Cross multiply
    9,256.82x = 12,773.84 × 5,277.87
  4. Step 4: Simplify right side
    9,256.82x = 67,418,640.53
  5. Step 5: Solve for x
    x = 67,418,640.53/9,256.82
  6. Step 6: Final answer
    x = 7,283.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.