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Finding the Fourth Proportional to 7,132.93, 9,843.97 and 4,108.58

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Solution

The fourth proportional to 7,132.93, 9,843.97 and 4,108.58 is: 5,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.93 : 9,843.97 = 4,108.58 : x
  2. Step 2: Convert to fraction form
    7,132.93/9,843.97 = 4,108.58/x
  3. Step 3: Cross multiply
    7,132.93x = 9,843.97 × 4,108.58
  4. Step 4: Simplify right side
    7,132.93x = 40,444,738.26
  5. Step 5: Solve for x
    x = 40,444,738.26/7,132.93
  6. Step 6: Final answer
    x = 5,670.14

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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.