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Finding the Fourth Proportional to 9,761.91, 14,643.04 and 3,522.39

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Solution

The fourth proportional to 9,761.91, 14,643.04 and 3,522.39 is: 5,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.91 : 14,643.04 = 3,522.39 : x
  2. Step 2: Convert to fraction form
    9,761.91/14,643.04 = 3,522.39/x
  3. Step 3: Cross multiply
    9,761.91x = 14,643.04 × 3,522.39
  4. Step 4: Simplify right side
    9,761.91x = 51,578,497.67
  5. Step 5: Solve for x
    x = 51,578,497.67/9,761.91
  6. Step 6: Final answer
    x = 5,283.65

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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.