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Finding the Fourth Proportional to 6,107.73, 9,162.25 and 1,946.76

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Solution

The fourth proportional to 6,107.73, 9,162.25 and 1,946.76 is: 2,920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.73 : 9,162.25 = 1,946.76 : x
  2. Step 2: Convert to fraction form
    6,107.73/9,162.25 = 1,946.76/x
  3. Step 3: Cross multiply
    6,107.73x = 9,162.25 × 1,946.76
  4. Step 4: Simplify right side
    6,107.73x = 17,836,701.81
  5. Step 5: Solve for x
    x = 17,836,701.81/6,107.73
  6. Step 6: Final answer
    x = 2,920.35

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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.