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Finding the Fourth Proportional to 4,968.16, 6,854.88 and 2,978.88

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Solution

The fourth proportional to 4,968.16, 6,854.88 and 2,978.88 is: 4,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.16 : 6,854.88 = 2,978.88 : x
  2. Step 2: Convert to fraction form
    4,968.16/6,854.88 = 2,978.88/x
  3. Step 3: Cross multiply
    4,968.16x = 6,854.88 × 2,978.88
  4. Step 4: Simplify right side
    4,968.16x = 20,419,864.93
  5. Step 5: Solve for x
    x = 20,419,864.93/4,968.16
  6. Step 6: Final answer
    x = 4,110.15

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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.