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Finding the Fourth Proportional to 9,560.34, 13,193.10 and 5,834.34

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Solution

The fourth proportional to 9,560.34, 13,193.10 and 5,834.34 is: 8,051.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.34 : 13,193.10 = 5,834.34 : x
  2. Step 2: Convert to fraction form
    9,560.34/13,193.10 = 5,834.34/x
  3. Step 3: Cross multiply
    9,560.34x = 13,193.10 × 5,834.34
  4. Step 4: Simplify right side
    9,560.34x = 76,973,031.05
  5. Step 5: Solve for x
    x = 76,973,031.05/9,560.34
  6. Step 6: Final answer
    x = 8,051.29

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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.