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Finding the Fourth Proportional to 6,523.40, 9,785.10 and 4,968.20

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Solution

The fourth proportional to 6,523.40, 9,785.10 and 4,968.20 is: 7,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.40 : 9,785.10 = 4,968.20 : x
  2. Step 2: Convert to fraction form
    6,523.40/9,785.10 = 4,968.20/x
  3. Step 3: Cross multiply
    6,523.40x = 9,785.10 × 4,968.20
  4. Step 4: Simplify right side
    6,523.40x = 48,614,333.82
  5. Step 5: Solve for x
    x = 48,614,333.82/6,523.40
  6. Step 6: Final answer
    x = 7,452.30

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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.