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Finding the Fourth Proportional to 14,222, 19,617 and 9,184.88

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Solution

The fourth proportional to 14,222, 19,617 and 9,184.88 is: 12,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,222 : 19,617 = 9,184.88 : x
  2. Step 2: Convert to fraction form
    14,222/19,617 = 9,184.88/x
  3. Step 3: Cross multiply
    14,222x = 19,617 × 9,184.88
  4. Step 4: Simplify right side
    14,222x = 180,179,790.96
  5. Step 5: Solve for x
    x = 180,179,790.96/14,222
  6. Step 6: Final answer
    x = 12,669.09

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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.