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Finding the Fourth Proportional to 7,153.62, 9,871.82 and 3,966.93

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Solution

The fourth proportional to 7,153.62, 9,871.82 and 3,966.93 is: 5,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.62 : 9,871.82 = 3,966.93 : x
  2. Step 2: Convert to fraction form
    7,153.62/9,871.82 = 3,966.93/x
  3. Step 3: Cross multiply
    7,153.62x = 9,871.82 × 3,966.93
  4. Step 4: Simplify right side
    7,153.62x = 39,160,813.95
  5. Step 5: Solve for x
    x = 39,160,813.95/7,153.62
  6. Step 6: Final answer
    x = 5,474.27

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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.