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Finding the Fourth Proportional to 7,104.98, 10,657.48 and 2,174.64

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Solution

The fourth proportional to 7,104.98, 10,657.48 and 2,174.64 is: 3,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.98 : 10,657.48 = 2,174.64 : x
  2. Step 2: Convert to fraction form
    7,104.98/10,657.48 = 2,174.64/x
  3. Step 3: Cross multiply
    7,104.98x = 10,657.48 × 2,174.64
  4. Step 4: Simplify right side
    7,104.98x = 23,176,182.31
  5. Step 5: Solve for x
    x = 23,176,182.31/7,104.98
  6. Step 6: Final answer
    x = 3,261.96

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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.