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Finding the Fourth Proportional to 9,256.14, 12,773.09 and 5,064.39

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Solution

The fourth proportional to 9,256.14, 12,773.09 and 5,064.39 is: 6,988.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.14 : 12,773.09 = 5,064.39 : x
  2. Step 2: Convert to fraction form
    9,256.14/12,773.09 = 5,064.39/x
  3. Step 3: Cross multiply
    9,256.14x = 12,773.09 × 5,064.39
  4. Step 4: Simplify right side
    9,256.14x = 64,687,921.93
  5. Step 5: Solve for x
    x = 64,687,921.93/9,256.14
  6. Step 6: Final answer
    x = 6,988.65

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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.