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Finding the Fourth Proportional to 8,451.71, 11,657.31 and 5,934.38

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Solution

The fourth proportional to 8,451.71, 11,657.31 and 5,934.38 is: 8,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.71 : 11,657.31 = 5,934.38 : x
  2. Step 2: Convert to fraction form
    8,451.71/11,657.31 = 5,934.38/x
  3. Step 3: Cross multiply
    8,451.71x = 11,657.31 × 5,934.38
  4. Step 4: Simplify right side
    8,451.71x = 69,178,907.32
  5. Step 5: Solve for x
    x = 69,178,907.32/8,451.71
  6. Step 6: Final answer
    x = 8,185.20

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Half scale
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Double scale
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Similar ratio
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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.