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Finding the Fourth Proportional to 7,142.98, 9,848.16 and 5,546.92

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Solution

The fourth proportional to 7,142.98, 9,848.16 and 5,546.92 is: 7,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.98 : 9,848.16 = 5,546.92 : x
  2. Step 2: Convert to fraction form
    7,142.98/9,848.16 = 5,546.92/x
  3. Step 3: Cross multiply
    7,142.98x = 9,848.16 × 5,546.92
  4. Step 4: Simplify right side
    7,142.98x = 54,626,986.44
  5. Step 5: Solve for x
    x = 54,626,986.44/7,142.98
  6. Step 6: Final answer
    x = 7,647.65

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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.