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Finding the Fourth Proportional to 9,763.45, 14,642.14 and 3,522.65

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Solution

The fourth proportional to 9,763.45, 14,642.14 and 3,522.65 is: 5,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.45 : 14,642.14 = 3,522.65 : x
  2. Step 2: Convert to fraction form
    9,763.45/14,642.14 = 3,522.65/x
  3. Step 3: Cross multiply
    9,763.45x = 14,642.14 × 3,522.65
  4. Step 4: Simplify right side
    9,763.45x = 51,579,110.15
  5. Step 5: Solve for x
    x = 51,579,110.15/9,763.45
  6. Step 6: Final answer
    x = 5,282.88

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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.