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Finding the Fourth Proportional to 10,394.57, 15,594.29 and 7,109.21

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Solution

The fourth proportional to 10,394.57, 15,594.29 and 7,109.21 is: 10,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.57 : 15,594.29 = 7,109.21 : x
  2. Step 2: Convert to fraction form
    10,394.57/15,594.29 = 7,109.21/x
  3. Step 3: Cross multiply
    10,394.57x = 15,594.29 × 7,109.21
  4. Step 4: Simplify right side
    10,394.57x = 110,863,082.41
  5. Step 5: Solve for x
    x = 110,863,082.41/10,394.57
  6. Step 6: Final answer
    x = 10,665.48

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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.