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Finding the Fourth Proportional to 10,089.59, 13,924.08 and 8,408.17

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Solution

The fourth proportional to 10,089.59, 13,924.08 and 8,408.17 is: 11,603.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.59 : 13,924.08 = 8,408.17 : x
  2. Step 2: Convert to fraction form
    10,089.59/13,924.08 = 8,408.17/x
  3. Step 3: Cross multiply
    10,089.59x = 13,924.08 × 8,408.17
  4. Step 4: Simplify right side
    10,089.59x = 117,076,049.14
  5. Step 5: Solve for x
    x = 117,076,049.14/10,089.59
  6. Step 6: Final answer
    x = 11,603.65

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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.