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Finding the Fourth Proportional to 13,482, 18,605.28 and 7,893.12

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Solution

The fourth proportional to 13,482, 18,605.28 and 7,893.12 is: 10,892.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,482 : 18,605.28 = 7,893.12 : x
  2. Step 2: Convert to fraction form
    13,482/18,605.28 = 7,893.12/x
  3. Step 3: Cross multiply
    13,482x = 18,605.28 × 7,893.12
  4. Step 4: Simplify right side
    13,482x = 146,853,707.67
  5. Step 5: Solve for x
    x = 146,853,707.67/13,482
  6. Step 6: Final answer
    x = 10,892.58

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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.