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Finding the Fourth Proportional to 13,334.63, 19,958.54 and 9,823.26

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Solution

The fourth proportional to 13,334.63, 19,958.54 and 9,823.26 is: 14,702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,334.63 : 19,958.54 = 9,823.26 : x
  2. Step 2: Convert to fraction form
    13,334.63/19,958.54 = 9,823.26/x
  3. Step 3: Cross multiply
    13,334.63x = 19,958.54 × 9,823.26
  4. Step 4: Simplify right side
    13,334.63x = 196,057,927.64
  5. Step 5: Solve for x
    x = 196,057,927.64/13,334.63
  6. Step 6: Final answer
    x = 14,702.91

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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.