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Finding the Fourth Proportional to 7,101.67, 9,800.31 and 3,957.85

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Solution

The fourth proportional to 7,101.67, 9,800.31 and 3,957.85 is: 5,461.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.67 : 9,800.31 = 3,957.85 : x
  2. Step 2: Convert to fraction form
    7,101.67/9,800.31 = 3,957.85/x
  3. Step 3: Cross multiply
    7,101.67x = 9,800.31 × 3,957.85
  4. Step 4: Simplify right side
    7,101.67x = 38,788,156.93
  5. Step 5: Solve for x
    x = 38,788,156.93/7,101.67
  6. Step 6: Final answer
    x = 5,461.84

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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.