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Finding the Fourth Proportional to 7,107.73, 9,808.74 and 3,921.14

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Solution

The fourth proportional to 7,107.73, 9,808.74 and 3,921.14 is: 5,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.73 : 9,808.74 = 3,921.14 : x
  2. Step 2: Convert to fraction form
    7,107.73/9,808.74 = 3,921.14/x
  3. Step 3: Cross multiply
    7,107.73x = 9,808.74 × 3,921.14
  4. Step 4: Simplify right side
    7,107.73x = 38,461,379.02
  5. Step 5: Solve for x
    x = 38,461,379.02/7,107.73
  6. Step 6: Final answer
    x = 5,411.21

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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.