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Finding the Fourth Proportional to 6,291.97, 8,686.16 and 4,948.41

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Solution

The fourth proportional to 6,291.97, 8,686.16 and 4,948.41 is: 6,831.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.97 : 8,686.16 = 4,948.41 : x
  2. Step 2: Convert to fraction form
    6,291.97/8,686.16 = 4,948.41/x
  3. Step 3: Cross multiply
    6,291.97x = 8,686.16 × 4,948.41
  4. Step 4: Simplify right side
    6,291.97x = 42,982,693.38
  5. Step 5: Solve for x
    x = 42,982,693.38/6,291.97
  6. Step 6: Final answer
    x = 6,831.36

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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.