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Finding the Fourth Proportional to 9,652.70, 14,479.20 and 3,809.25

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Solution

The fourth proportional to 9,652.70, 14,479.20 and 3,809.25 is: 5,713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.70 : 14,479.20 = 3,809.25 : x
  2. Step 2: Convert to fraction form
    9,652.70/14,479.20 = 3,809.25/x
  3. Step 3: Cross multiply
    9,652.70x = 14,479.20 × 3,809.25
  4. Step 4: Simplify right side
    9,652.70x = 55,154,892.60
  5. Step 5: Solve for x
    x = 55,154,892.60/9,652.70
  6. Step 6: Final answer
    x = 5,713.93

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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.