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Finding the Fourth Proportional to 16,182, 22,325.10 and 9,465.48

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Solution

The fourth proportional to 16,182, 22,325.10 and 9,465.48 is: 13,058.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182 : 22,325.10 = 9,465.48 : x
  2. Step 2: Convert to fraction form
    16,182/22,325.10 = 9,465.48/x
  3. Step 3: Cross multiply
    16,182x = 22,325.10 × 9,465.48
  4. Step 4: Simplify right side
    16,182x = 211,317,787.55
  5. Step 5: Solve for x
    x = 211,317,787.55/16,182
  6. Step 6: Final answer
    x = 13,058.82

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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.