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Finding the Fourth Proportional to 16,058.25, 24,097.10 and 6,824.25

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Solution

The fourth proportional to 16,058.25, 24,097.10 and 6,824.25 is: 10,240.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,058.25 : 24,097.10 = 6,824.25 : x
  2. Step 2: Convert to fraction form
    16,058.25/24,097.10 = 6,824.25/x
  3. Step 3: Cross multiply
    16,058.25x = 24,097.10 × 6,824.25
  4. Step 4: Simplify right side
    16,058.25x = 164,444,600.55
  5. Step 5: Solve for x
    x = 164,444,600.55/16,058.25
  6. Step 6: Final answer
    x = 10,240.51

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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.