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Finding the Fourth Proportional to 9,682.08, 14,524.74 and 7,602

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Solution

The fourth proportional to 9,682.08, 14,524.74 and 7,602 is: 11,404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.08 : 14,524.74 = 7,602 : x
  2. Step 2: Convert to fraction form
    9,682.08/14,524.74 = 7,602/x
  3. Step 3: Cross multiply
    9,682.08x = 14,524.74 × 7,602
  4. Step 4: Simplify right side
    9,682.08x = 110,417,073.48
  5. Step 5: Solve for x
    x = 110,417,073.48/9,682.08
  6. Step 6: Final answer
    x = 11,404.27

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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.