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Finding the Fourth Proportional to 6,563.68, 9,066.72 and 6,097.12

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Solution

The fourth proportional to 6,563.68, 9,066.72 and 6,097.12 is: 8,422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.68 : 9,066.72 = 6,097.12 : x
  2. Step 2: Convert to fraction form
    6,563.68/9,066.72 = 6,097.12/x
  3. Step 3: Cross multiply
    6,563.68x = 9,066.72 × 6,097.12
  4. Step 4: Simplify right side
    6,563.68x = 55,280,879.85
  5. Step 5: Solve for x
    x = 55,280,879.85/6,563.68
  6. Step 6: Final answer
    x = 8,422.24

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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.