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Finding the Fourth Proportional to 22,030.80, 33,047.12 and 6,448.44

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Solution

The fourth proportional to 22,030.80, 33,047.12 and 6,448.44 is: 9,672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,030.80 : 33,047.12 = 6,448.44 : x
  2. Step 2: Convert to fraction form
    22,030.80/33,047.12 = 6,448.44/x
  3. Step 3: Cross multiply
    22,030.80x = 33,047.12 × 6,448.44
  4. Step 4: Simplify right side
    22,030.80x = 213,102,370.49
  5. Step 5: Solve for x
    x = 213,102,370.49/22,030.80
  6. Step 6: Final answer
    x = 9,672.93

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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.