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Finding the Fourth Proportional to 7,104.61, 10,657.12 and 2,174.14

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Solution

The fourth proportional to 7,104.61, 10,657.12 and 2,174.14 is: 3,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.61 : 10,657.12 = 2,174.14 : x
  2. Step 2: Convert to fraction form
    7,104.61/10,657.12 = 2,174.14/x
  3. Step 3: Cross multiply
    7,104.61x = 10,657.12 × 2,174.14
  4. Step 4: Simplify right side
    7,104.61x = 23,170,038.80
  5. Step 5: Solve for x
    x = 23,170,038.80/7,104.61
  6. Step 6: Final answer
    x = 3,261.27

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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.