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Finding the Fourth Proportional to 9,252.07, 12,767.07 and 5,273.10

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Solution

The fourth proportional to 9,252.07, 12,767.07 and 5,273.10 is: 7,276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.07 : 12,767.07 = 5,273.10 : x
  2. Step 2: Convert to fraction form
    9,252.07/12,767.07 = 5,273.10/x
  3. Step 3: Cross multiply
    9,252.07x = 12,767.07 × 5,273.10
  4. Step 4: Simplify right side
    9,252.07x = 67,322,026.93
  5. Step 5: Solve for x
    x = 67,322,026.93/9,252.07
  6. Step 6: Final answer
    x = 7,276.43

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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.