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Finding the Fourth Proportional to 6,452.91, 9,680.63 and 2,070.03

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Solution

The fourth proportional to 6,452.91, 9,680.63 and 2,070.03 is: 3,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.91 : 9,680.63 = 2,070.03 : x
  2. Step 2: Convert to fraction form
    6,452.91/9,680.63 = 2,070.03/x
  3. Step 3: Cross multiply
    6,452.91x = 9,680.63 × 2,070.03
  4. Step 4: Simplify right side
    6,452.91x = 20,039,184.17
  5. Step 5: Solve for x
    x = 20,039,184.17/6,452.91
  6. Step 6: Final answer
    x = 3,105.45

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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.