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Finding the Fourth Proportional to 19,642.19, 29,437.77 and 7,949.03

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Solution

The fourth proportional to 19,642.19, 29,437.77 and 7,949.03 is: 11,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.19 : 29,437.77 = 7,949.03 : x
  2. Step 2: Convert to fraction form
    19,642.19/29,437.77 = 7,949.03/x
  3. Step 3: Cross multiply
    19,642.19x = 29,437.77 × 7,949.03
  4. Step 4: Simplify right side
    19,642.19x = 234,001,716.86
  5. Step 5: Solve for x
    x = 234,001,716.86/19,642.19
  6. Step 6: Final answer
    x = 11,913.22

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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.