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Finding the Fourth Proportional to 9,243.97, 12,758.94 and 7,749.52

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Solution

The fourth proportional to 9,243.97, 12,758.94 and 7,749.52 is: 10,696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.97 : 12,758.94 = 7,749.52 : x
  2. Step 2: Convert to fraction form
    9,243.97/12,758.94 = 7,749.52/x
  3. Step 3: Cross multiply
    9,243.97x = 12,758.94 × 7,749.52
  4. Step 4: Simplify right side
    9,243.97x = 98,875,660.71
  5. Step 5: Solve for x
    x = 98,875,660.71/9,243.97
  6. Step 6: Final answer
    x = 10,696.23

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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.