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Finding the Fourth Proportional to 9,924.34, 13,695.08 and 5,891.34

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Solution

The fourth proportional to 9,924.34, 13,695.08 and 5,891.34 is: 8,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.34 : 13,695.08 = 5,891.34 : x
  2. Step 2: Convert to fraction form
    9,924.34/13,695.08 = 5,891.34/x
  3. Step 3: Cross multiply
    9,924.34x = 13,695.08 × 5,891.34
  4. Step 4: Simplify right side
    9,924.34x = 80,682,302.84
  5. Step 5: Solve for x
    x = 80,682,302.84/9,924.34
  6. Step 6: Final answer
    x = 8,129.74

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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.