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Finding the Fourth Proportional to 10,068, 13,893.84 and 5,875.44

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Solution

The fourth proportional to 10,068, 13,893.84 and 5,875.44 is: 8,108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068 : 13,893.84 = 5,875.44 : x
  2. Step 2: Convert to fraction form
    10,068/13,893.84 = 5,875.44/x
  3. Step 3: Cross multiply
    10,068x = 13,893.84 × 5,875.44
  4. Step 4: Simplify right side
    10,068x = 81,632,423.29
  5. Step 5: Solve for x
    x = 81,632,423.29/10,068
  6. Step 6: Final answer
    x = 8,108.11

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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.