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Finding the Fourth Proportional to 22,301, 33,445.98 and 6,505.58

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Solution

The fourth proportional to 22,301, 33,445.98 and 6,505.58 is: 9,756.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,301 : 33,445.98 = 6,505.58 : x
  2. Step 2: Convert to fraction form
    22,301/33,445.98 = 6,505.58/x
  3. Step 3: Cross multiply
    22,301x = 33,445.98 × 6,505.58
  4. Step 4: Simplify right side
    22,301x = 217,585,498.57
  5. Step 5: Solve for x
    x = 217,585,498.57/22,301
  6. Step 6: Final answer
    x = 9,756.76

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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.