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Finding the Fourth Proportional to 8,287, 11,433.47 and 4,701.36

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Solution

The fourth proportional to 8,287, 11,433.47 and 4,701.36 is: 6,486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287 : 11,433.47 = 4,701.36 : x
  2. Step 2: Convert to fraction form
    8,287/11,433.47 = 4,701.36/x
  3. Step 3: Cross multiply
    8,287x = 11,433.47 × 4,701.36
  4. Step 4: Simplify right side
    8,287x = 53,752,858.52
  5. Step 5: Solve for x
    x = 53,752,858.52/8,287
  6. Step 6: Final answer
    x = 6,486.41

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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.