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Finding the Fourth Proportional to 9,633.90, 14,459.08 and 6,867.34

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Solution

The fourth proportional to 9,633.90, 14,459.08 and 6,867.34 is: 10,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.90 : 14,459.08 = 6,867.34 : x
  2. Step 2: Convert to fraction form
    9,633.90/14,459.08 = 6,867.34/x
  3. Step 3: Cross multiply
    9,633.90x = 14,459.08 × 6,867.34
  4. Step 4: Simplify right side
    9,633.90x = 99,295,418.45
  5. Step 5: Solve for x
    x = 99,295,418.45/9,633.90
  6. Step 6: Final answer
    x = 10,306.88

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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.