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Finding the Fourth Proportional to 8,078.15, 11,148.10 and 4,892.03

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Solution

The fourth proportional to 8,078.15, 11,148.10 and 4,892.03 is: 6,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.15 : 11,148.10 = 4,892.03 : x
  2. Step 2: Convert to fraction form
    8,078.15/11,148.10 = 4,892.03/x
  3. Step 3: Cross multiply
    8,078.15x = 11,148.10 × 4,892.03
  4. Step 4: Simplify right side
    8,078.15x = 54,536,855.28
  5. Step 5: Solve for x
    x = 54,536,855.28/8,078.15
  6. Step 6: Final answer
    x = 6,751.16

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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.