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Finding the Fourth Proportional to 9,649.50, 14,474.25 and 2,353.50

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Solution

The fourth proportional to 9,649.50, 14,474.25 and 2,353.50 is: 3,530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.50 : 14,474.25 = 2,353.50 : x
  2. Step 2: Convert to fraction form
    9,649.50/14,474.25 = 2,353.50/x
  3. Step 3: Cross multiply
    9,649.50x = 14,474.25 × 2,353.50
  4. Step 4: Simplify right side
    9,649.50x = 34,065,147.38
  5. Step 5: Solve for x
    x = 34,065,147.38/9,649.50
  6. Step 6: Final answer
    x = 3,530.25

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Double scale
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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.