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Finding the Fourth Proportional to 7,161.88, 10,740.12 and 3,462.88

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Solution

The fourth proportional to 7,161.88, 10,740.12 and 3,462.88 is: 5,193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.88 : 10,740.12 = 3,462.88 : x
  2. Step 2: Convert to fraction form
    7,161.88/10,740.12 = 3,462.88/x
  3. Step 3: Cross multiply
    7,161.88x = 10,740.12 × 3,462.88
  4. Step 4: Simplify right side
    7,161.88x = 37,191,746.75
  5. Step 5: Solve for x
    x = 37,191,746.75/7,161.88
  6. Step 6: Final answer
    x = 5,193.01

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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.