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Finding the Fourth Proportional to 8,256.25, 11,384.94 and 6,368.14

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Solution

The fourth proportional to 8,256.25, 11,384.94 and 6,368.14 is: 8,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.25 : 11,384.94 = 6,368.14 : x
  2. Step 2: Convert to fraction form
    8,256.25/11,384.94 = 6,368.14/x
  3. Step 3: Cross multiply
    8,256.25x = 11,384.94 × 6,368.14
  4. Step 4: Simplify right side
    8,256.25x = 72,500,891.81
  5. Step 5: Solve for x
    x = 72,500,891.81/8,256.25
  6. Step 6: Final answer
    x = 8,781.33

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Double scale
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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.