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Finding the Fourth Proportional to 9,652.68, 14,478.24 and 3,809.28

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Solution

The fourth proportional to 9,652.68, 14,478.24 and 3,809.28 is: 5,713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.68 : 14,478.24 = 3,809.28 : x
  2. Step 2: Convert to fraction form
    9,652.68/14,478.24 = 3,809.28/x
  3. Step 3: Cross multiply
    9,652.68x = 14,478.24 × 3,809.28
  4. Step 4: Simplify right side
    9,652.68x = 55,151,670.07
  5. Step 5: Solve for x
    x = 55,151,670.07/9,652.68
  6. Step 6: Final answer
    x = 5,713.61

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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.