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Finding the Fourth Proportional to 7,132.08, 9,843 and 4,481.52

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Solution

The fourth proportional to 7,132.08, 9,843 and 4,481.52 is: 6,184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.08 : 9,843 = 4,481.52 : x
  2. Step 2: Convert to fraction form
    7,132.08/9,843 = 4,481.52/x
  3. Step 3: Cross multiply
    7,132.08x = 9,843 × 4,481.52
  4. Step 4: Simplify right side
    7,132.08x = 44,111,601.36
  5. Step 5: Solve for x
    x = 44,111,601.36/7,132.08
  6. Step 6: Final answer
    x = 6,184.96

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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.