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Finding the Fourth Proportional to 4,966.47, 6,854.00 and 2,978.12

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Solution

The fourth proportional to 4,966.47, 6,854.00 and 2,978.12 is: 4,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.47 : 6,854.00 = 2,978.12 : x
  2. Step 2: Convert to fraction form
    4,966.47/6,854.00 = 2,978.12/x
  3. Step 3: Cross multiply
    4,966.47x = 6,854.00 × 2,978.12
  4. Step 4: Simplify right side
    4,966.47x = 20,412,036.72
  5. Step 5: Solve for x
    x = 20,412,036.72/4,966.47
  6. Step 6: Final answer
    x = 4,109.97

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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.