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Finding the Fourth Proportional to 9,734.80, 14,601.12 and 2,809.30

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Solution

The fourth proportional to 9,734.80, 14,601.12 and 2,809.30 is: 4,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.80 : 14,601.12 = 2,809.30 : x
  2. Step 2: Convert to fraction form
    9,734.80/14,601.12 = 2,809.30/x
  3. Step 3: Cross multiply
    9,734.80x = 14,601.12 × 2,809.30
  4. Step 4: Simplify right side
    9,734.80x = 41,018,926.42
  5. Step 5: Solve for x
    x = 41,018,926.42/9,734.80
  6. Step 6: Final answer
    x = 4,213.64

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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.