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Finding the Fourth Proportional to 6,992.51, 9,649.71 and 3,805.83

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Solution

The fourth proportional to 6,992.51, 9,649.71 and 3,805.83 is: 5,252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.51 : 9,649.71 = 3,805.83 : x
  2. Step 2: Convert to fraction form
    6,992.51/9,649.71 = 3,805.83/x
  3. Step 3: Cross multiply
    6,992.51x = 9,649.71 × 3,805.83
  4. Step 4: Simplify right side
    6,992.51x = 36,725,155.81
  5. Step 5: Solve for x
    x = 36,725,155.81/6,992.51
  6. Step 6: Final answer
    x = 5,252.07

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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.