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Finding the Fourth Proportional to 9,659.64, 14,491.90 and 2,734.16

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Solution

The fourth proportional to 9,659.64, 14,491.90 and 2,734.16 is: 4,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.64 : 14,491.90 = 2,734.16 : x
  2. Step 2: Convert to fraction form
    9,659.64/14,491.90 = 2,734.16/x
  3. Step 3: Cross multiply
    9,659.64x = 14,491.90 × 2,734.16
  4. Step 4: Simplify right side
    9,659.64x = 39,623,173.30
  5. Step 5: Solve for x
    x = 39,623,173.30/9,659.64
  6. Step 6: Final answer
    x = 4,101.93

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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.