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Finding the Fourth Proportional to 9,763.87, 14,642.78 and 3,523.07

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Solution

The fourth proportional to 9,763.87, 14,642.78 and 3,523.07 is: 5,283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.87 : 14,642.78 = 3,523.07 : x
  2. Step 2: Convert to fraction form
    9,763.87/14,642.78 = 3,523.07/x
  3. Step 3: Cross multiply
    9,763.87x = 14,642.78 × 3,523.07
  4. Step 4: Simplify right side
    9,763.87x = 51,587,557.93
  5. Step 5: Solve for x
    x = 51,587,557.93/9,763.87
  6. Step 6: Final answer
    x = 5,283.52

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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.