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Finding the Fourth Proportional to 8,625.69, 11,904.57 and 5,644.08

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Solution

The fourth proportional to 8,625.69, 11,904.57 and 5,644.08 is: 7,789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,625.69 : 11,904.57 = 5,644.08 : x
  2. Step 2: Convert to fraction form
    8,625.69/11,904.57 = 5,644.08/x
  3. Step 3: Cross multiply
    8,625.69x = 11,904.57 × 5,644.08
  4. Step 4: Simplify right side
    8,625.69x = 67,190,345.45
  5. Step 5: Solve for x
    x = 67,190,345.45/8,625.69
  6. Step 6: Final answer
    x = 7,789.56

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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.