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Finding the Fourth Proportional to 7,801.20, 11,701.95 and 1,957.66

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Solution

The fourth proportional to 7,801.20, 11,701.95 and 1,957.66 is: 2,936.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.20 : 11,701.95 = 1,957.66 : x
  2. Step 2: Convert to fraction form
    7,801.20/11,701.95 = 1,957.66/x
  3. Step 3: Cross multiply
    7,801.20x = 11,701.95 × 1,957.66
  4. Step 4: Simplify right side
    7,801.20x = 22,908,439.44
  5. Step 5: Solve for x
    x = 22,908,439.44/7,801.20
  6. Step 6: Final answer
    x = 2,936.53

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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.