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Finding the Fourth Proportional to 13,963.97, 19,270 and 7,676.45

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Solution

The fourth proportional to 13,963.97, 19,270 and 7,676.45 is: 10,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.97 : 19,270 = 7,676.45 : x
  2. Step 2: Convert to fraction form
    13,963.97/19,270 = 7,676.45/x
  3. Step 3: Cross multiply
    13,963.97x = 19,270 × 7,676.45
  4. Step 4: Simplify right side
    13,963.97x = 147,925,191.50
  5. Step 5: Solve for x
    x = 147,925,191.50/13,963.97
  6. Step 6: Final answer
    x = 10,593.35

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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.