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Finding the Fourth Proportional to 6,076.97, 8,386.49 and 3,424.49

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Solution

The fourth proportional to 6,076.97, 8,386.49 and 3,424.49 is: 4,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.97 : 8,386.49 = 3,424.49 : x
  2. Step 2: Convert to fraction form
    6,076.97/8,386.49 = 3,424.49/x
  3. Step 3: Cross multiply
    6,076.97x = 8,386.49 × 3,424.49
  4. Step 4: Simplify right side
    6,076.97x = 28,719,417.77
  5. Step 5: Solve for x
    x = 28,719,417.77/6,076.97
  6. Step 6: Final answer
    x = 4,725.95

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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.