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Finding the Fourth Proportional to 9,924.90, 13,652.82 and 8,301.08

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Solution

The fourth proportional to 9,924.90, 13,652.82 and 8,301.08 is: 11,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.90 : 13,652.82 = 8,301.08 : x
  2. Step 2: Convert to fraction form
    9,924.90/13,652.82 = 8,301.08/x
  3. Step 3: Cross multiply
    9,924.90x = 13,652.82 × 8,301.08
  4. Step 4: Simplify right side
    9,924.90x = 113,333,151.05
  5. Step 5: Solve for x
    x = 113,333,151.05/9,924.90
  6. Step 6: Final answer
    x = 11,419.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.