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Finding the Fourth Proportional to 13,441.84, 18,549.84 and 7,474.16

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Solution

The fourth proportional to 13,441.84, 18,549.84 and 7,474.16 is: 10,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.84 : 18,549.84 = 7,474.16 : x
  2. Step 2: Convert to fraction form
    13,441.84/18,549.84 = 7,474.16/x
  3. Step 3: Cross multiply
    13,441.84x = 18,549.84 × 7,474.16
  4. Step 4: Simplify right side
    13,441.84x = 138,644,472.13
  5. Step 5: Solve for x
    x = 138,644,472.13/13,441.84
  6. Step 6: Final answer
    x = 10,314.40

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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.