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Finding the Fourth Proportional to 9,696.18, 13,387.65 and 7,454.52

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Solution

The fourth proportional to 9,696.18, 13,387.65 and 7,454.52 is: 10,292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.18 : 13,387.65 = 7,454.52 : x
  2. Step 2: Convert to fraction form
    9,696.18/13,387.65 = 7,454.52/x
  3. Step 3: Cross multiply
    9,696.18x = 13,387.65 × 7,454.52
  4. Step 4: Simplify right side
    9,696.18x = 99,798,504.68
  5. Step 5: Solve for x
    x = 99,798,504.68/9,696.18
  6. Step 6: Final answer
    x = 10,292.56

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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.