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Finding the Fourth Proportional to 6,642.96, 9,161.04 and 4,968.24

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Solution

The fourth proportional to 6,642.96, 9,161.04 and 4,968.24 is: 6,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.96 : 9,161.04 = 4,968.24 : x
  2. Step 2: Convert to fraction form
    6,642.96/9,161.04 = 4,968.24/x
  3. Step 3: Cross multiply
    6,642.96x = 9,161.04 × 4,968.24
  4. Step 4: Simplify right side
    6,642.96x = 45,514,245.37
  5. Step 5: Solve for x
    x = 45,514,245.37/6,642.96
  6. Step 6: Final answer
    x = 6,851.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.