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Finding the Fourth Proportional to 13,722.84, 18,935.10 and 8,058.24

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Solution

The fourth proportional to 13,722.84, 18,935.10 and 8,058.24 is: 11,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.84 : 18,935.10 = 8,058.24 : x
  2. Step 2: Convert to fraction form
    13,722.84/18,935.10 = 8,058.24/x
  3. Step 3: Cross multiply
    13,722.84x = 18,935.10 × 8,058.24
  4. Step 4: Simplify right side
    13,722.84x = 152,583,580.22
  5. Step 5: Solve for x
    x = 152,583,580.22/13,722.84
  6. Step 6: Final answer
    x = 11,118.95

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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.