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Finding the Fourth Proportional to 4,654.48, 6,981.60 and 1,144.48

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Solution

The fourth proportional to 4,654.48, 6,981.60 and 1,144.48 is: 1,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.48 : 6,981.60 = 1,144.48 : x
  2. Step 2: Convert to fraction form
    4,654.48/6,981.60 = 1,144.48/x
  3. Step 3: Cross multiply
    4,654.48x = 6,981.60 × 1,144.48
  4. Step 4: Simplify right side
    4,654.48x = 7,990,301.57
  5. Step 5: Solve for x
    x = 7,990,301.57/4,654.48
  6. Step 6: Final answer
    x = 1,716.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.