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Finding the Fourth Proportional to 9,734.32, 14,601.68 and 3,494.89

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Solution

The fourth proportional to 9,734.32, 14,601.68 and 3,494.89 is: 5,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.32 : 14,601.68 = 3,494.89 : x
  2. Step 2: Convert to fraction form
    9,734.32/14,601.68 = 3,494.89/x
  3. Step 3: Cross multiply
    9,734.32x = 14,601.68 × 3,494.89
  4. Step 4: Simplify right side
    9,734.32x = 51,031,265.42
  5. Step 5: Solve for x
    x = 51,031,265.42/9,734.32
  6. Step 6: Final answer
    x = 5,242.41

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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.