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Finding the Fourth Proportional to 10,782.84, 14,880.02 and 6,067

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Solution

The fourth proportional to 10,782.84, 14,880.02 and 6,067 is: 8,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.84 : 14,880.02 = 6,067 : x
  2. Step 2: Convert to fraction form
    10,782.84/14,880.02 = 6,067/x
  3. Step 3: Cross multiply
    10,782.84x = 14,880.02 × 6,067
  4. Step 4: Simplify right side
    10,782.84x = 90,277,081.34
  5. Step 5: Solve for x
    x = 90,277,081.34/10,782.84
  6. Step 6: Final answer
    x = 8,372.29

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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.