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Finding the Fourth Proportional to 4,654.68, 6,972.78 and 2,806.32

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Solution

The fourth proportional to 4,654.68, 6,972.78 and 2,806.32 is: 4,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.68 : 6,972.78 = 2,806.32 : x
  2. Step 2: Convert to fraction form
    4,654.68/6,972.78 = 2,806.32/x
  3. Step 3: Cross multiply
    4,654.68x = 6,972.78 × 2,806.32
  4. Step 4: Simplify right side
    4,654.68x = 19,567,851.97
  5. Step 5: Solve for x
    x = 19,567,851.97/4,654.68
  6. Step 6: Final answer
    x = 4,203.91

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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.