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Finding the Fourth Proportional to 22,199.10, 33,303.31 and 6,404.10

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Solution

The fourth proportional to 22,199.10, 33,303.31 and 6,404.10 is: 9,607.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,199.10 : 33,303.31 = 6,404.10 : x
  2. Step 2: Convert to fraction form
    22,199.10/33,303.31 = 6,404.10/x
  3. Step 3: Cross multiply
    22,199.10x = 33,303.31 × 6,404.10
  4. Step 4: Simplify right side
    22,199.10x = 213,277,711.56
  5. Step 5: Solve for x
    x = 213,277,711.56/22,199.10
  6. Step 6: Final answer
    x = 9,607.49

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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.