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Finding the Fourth Proportional to 13,191.52, 18,203.56 and 7,222

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Solution

The fourth proportional to 13,191.52, 18,203.56 and 7,222 is: 9,965.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.52 : 18,203.56 = 7,222 : x
  2. Step 2: Convert to fraction form
    13,191.52/18,203.56 = 7,222/x
  3. Step 3: Cross multiply
    13,191.52x = 18,203.56 × 7,222
  4. Step 4: Simplify right side
    13,191.52x = 131,466,110.32
  5. Step 5: Solve for x
    x = 131,466,110.32/13,191.52
  6. Step 6: Final answer
    x = 9,965.96

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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.