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Finding the Fourth Proportional to 8,642.44, 11,922.42 and 5,656.96

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Solution

The fourth proportional to 8,642.44, 11,922.42 and 5,656.96 is: 7,803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.44 : 11,922.42 = 5,656.96 : x
  2. Step 2: Convert to fraction form
    8,642.44/11,922.42 = 5,656.96/x
  3. Step 3: Cross multiply
    8,642.44x = 11,922.42 × 5,656.96
  4. Step 4: Simplify right side
    8,642.44x = 67,444,653.04
  5. Step 5: Solve for x
    x = 67,444,653.04/8,642.44
  6. Step 6: Final answer
    x = 7,803.89

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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.