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Finding the Fourth Proportional to 13,334.57, 19,958.45 and 9,823.19

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Solution

The fourth proportional to 13,334.57, 19,958.45 and 9,823.19 is: 14,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,334.57 : 19,958.45 = 9,823.19 : x
  2. Step 2: Convert to fraction form
    13,334.57/19,958.45 = 9,823.19/x
  3. Step 3: Cross multiply
    13,334.57x = 19,958.45 × 9,823.19
  4. Step 4: Simplify right side
    13,334.57x = 196,055,665.07
  5. Step 5: Solve for x
    x = 196,055,665.07/13,334.57
  6. Step 6: Final answer
    x = 14,702.81

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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.