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Finding the Fourth Proportional to 10,064.94, 13,893.03 and 5,876.70

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Solution

The fourth proportional to 10,064.94, 13,893.03 and 5,876.70 is: 8,111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.94 : 13,893.03 = 5,876.70 : x
  2. Step 2: Convert to fraction form
    10,064.94/13,893.03 = 5,876.70/x
  3. Step 3: Cross multiply
    10,064.94x = 13,893.03 × 5,876.70
  4. Step 4: Simplify right side
    10,064.94x = 81,645,169.40
  5. Step 5: Solve for x
    x = 81,645,169.40/10,064.94
  6. Step 6: Final answer
    x = 8,111.84

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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.