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Finding the Fourth Proportional to 9,593.64, 14,390.46 and 4,659.05

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Solution

The fourth proportional to 9,593.64, 14,390.46 and 4,659.05 is: 6,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.64 : 14,390.46 = 4,659.05 : x
  2. Step 2: Convert to fraction form
    9,593.64/14,390.46 = 4,659.05/x
  3. Step 3: Cross multiply
    9,593.64x = 14,390.46 × 4,659.05
  4. Step 4: Simplify right side
    9,593.64x = 67,045,872.66
  5. Step 5: Solve for x
    x = 67,045,872.66/9,593.64
  6. Step 6: Final answer
    x = 6,988.58

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Similar ratio
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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.