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Finding the Fourth Proportional to 7,065.10, 10,597.74 and 2,134.78

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Solution

The fourth proportional to 7,065.10, 10,597.74 and 2,134.78 is: 3,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.10 : 10,597.74 = 2,134.78 : x
  2. Step 2: Convert to fraction form
    7,065.10/10,597.74 = 2,134.78/x
  3. Step 3: Cross multiply
    7,065.10x = 10,597.74 × 2,134.78
  4. Step 4: Simplify right side
    7,065.10x = 22,623,843.40
  5. Step 5: Solve for x
    x = 22,623,843.40/7,065.10
  6. Step 6: Final answer
    x = 3,202.20

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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.