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Finding the Fourth Proportional to 7,193.29, 9,926.70 and 4,006.42

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Solution

The fourth proportional to 7,193.29, 9,926.70 and 4,006.42 is: 5,528.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.29 : 9,926.70 = 4,006.42 : x
  2. Step 2: Convert to fraction form
    7,193.29/9,926.70 = 4,006.42/x
  3. Step 3: Cross multiply
    7,193.29x = 9,926.70 × 4,006.42
  4. Step 4: Simplify right side
    7,193.29x = 39,770,581.91
  5. Step 5: Solve for x
    x = 39,770,581.91/7,193.29
  6. Step 6: Final answer
    x = 5,528.84

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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.