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Finding the Fourth Proportional to 9,763.88, 14,642.80 and 3,523.09

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Solution

The fourth proportional to 9,763.88, 14,642.80 and 3,523.09 is: 5,283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.88 : 14,642.80 = 3,523.09 : x
  2. Step 2: Convert to fraction form
    9,763.88/14,642.80 = 3,523.09/x
  3. Step 3: Cross multiply
    9,763.88x = 14,642.80 × 3,523.09
  4. Step 4: Simplify right side
    9,763.88x = 51,587,848.03
  5. Step 5: Solve for x
    x = 51,587,848.03/9,763.88
  6. Step 6: Final answer
    x = 5,283.54

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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.