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Finding the Fourth Proportional to 8,097.59, 11,174.70 and 4,695.26

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Solution

The fourth proportional to 8,097.59, 11,174.70 and 4,695.26 is: 6,479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.59 : 11,174.70 = 4,695.26 : x
  2. Step 2: Convert to fraction form
    8,097.59/11,174.70 = 4,695.26/x
  3. Step 3: Cross multiply
    8,097.59x = 11,174.70 × 4,695.26
  4. Step 4: Simplify right side
    8,097.59x = 52,468,164.74
  5. Step 5: Solve for x
    x = 52,468,164.74/8,097.59
  6. Step 6: Final answer
    x = 6,479.48

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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.