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Finding the Fourth Proportional to 6,854.52, 10,282.14 and 2,174.89

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Solution

The fourth proportional to 6,854.52, 10,282.14 and 2,174.89 is: 3,262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.52 : 10,282.14 = 2,174.89 : x
  2. Step 2: Convert to fraction form
    6,854.52/10,282.14 = 2,174.89/x
  3. Step 3: Cross multiply
    6,854.52x = 10,282.14 × 2,174.89
  4. Step 4: Simplify right side
    6,854.52x = 22,362,497.76
  5. Step 5: Solve for x
    x = 22,362,497.76/6,854.52
  6. Step 6: Final answer
    x = 3,262.45

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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.