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Finding the Fourth Proportional to 9,601.84, 14,393.31 and 4,059.01

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Solution

The fourth proportional to 9,601.84, 14,393.31 and 4,059.01 is: 6,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.84 : 14,393.31 = 4,059.01 : x
  2. Step 2: Convert to fraction form
    9,601.84/14,393.31 = 4,059.01/x
  3. Step 3: Cross multiply
    9,601.84x = 14,393.31 × 4,059.01
  4. Step 4: Simplify right side
    9,601.84x = 58,422,589.22
  5. Step 5: Solve for x
    x = 58,422,589.22/9,601.84
  6. Step 6: Final answer
    x = 6,084.52

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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.