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Finding the Fourth Proportional to 5,827.06, 8,097.20 and 5,767.12

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Solution

The fourth proportional to 5,827.06, 8,097.20 and 5,767.12 is: 8,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.06 : 8,097.20 = 5,767.12 : x
  2. Step 2: Convert to fraction form
    5,827.06/8,097.20 = 5,767.12/x
  3. Step 3: Cross multiply
    5,827.06x = 8,097.20 × 5,767.12
  4. Step 4: Simplify right side
    5,827.06x = 46,697,524.06
  5. Step 5: Solve for x
    x = 46,697,524.06/5,827.06
  6. Step 6: Final answer
    x = 8,013.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.