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Finding the Fourth Proportional to 7,054.62, 9,734.65 and 4,221.42

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Solution

The fourth proportional to 7,054.62, 9,734.65 and 4,221.42 is: 5,825.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.62 : 9,734.65 = 4,221.42 : x
  2. Step 2: Convert to fraction form
    7,054.62/9,734.65 = 4,221.42/x
  3. Step 3: Cross multiply
    7,054.62x = 9,734.65 × 4,221.42
  4. Step 4: Simplify right side
    7,054.62x = 41,094,046.20
  5. Step 5: Solve for x
    x = 41,094,046.20/7,054.62
  6. Step 6: Final answer
    x = 5,825.13

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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.