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Finding the Fourth Proportional to 7,193.01, 9,924.42 and 4,209.58

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Solution

The fourth proportional to 7,193.01, 9,924.42 and 4,209.58 is: 5,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.01 : 9,924.42 = 4,209.58 : x
  2. Step 2: Convert to fraction form
    7,193.01/9,924.42 = 4,209.58/x
  3. Step 3: Cross multiply
    7,193.01x = 9,924.42 × 4,209.58
  4. Step 4: Simplify right side
    7,193.01x = 41,777,639.94
  5. Step 5: Solve for x
    x = 41,777,639.94/7,193.01
  6. Step 6: Final answer
    x = 5,808.09

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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.