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Finding the Fourth Proportional to 13,822.17, 20,733.08 and 9,748.17

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Solution

The fourth proportional to 13,822.17, 20,733.08 and 9,748.17 is: 14,622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.17 : 20,733.08 = 9,748.17 : x
  2. Step 2: Convert to fraction form
    13,822.17/20,733.08 = 9,748.17/x
  3. Step 3: Cross multiply
    13,822.17x = 20,733.08 × 9,748.17
  4. Step 4: Simplify right side
    13,822.17x = 202,109,542.23
  5. Step 5: Solve for x
    x = 202,109,542.23/13,822.17
  6. Step 6: Final answer
    x = 14,622.13

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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.