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Finding the Fourth Proportional to 6,188.86, 9,282.54 and 1,746.86

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Solution

The fourth proportional to 6,188.86, 9,282.54 and 1,746.86 is: 2,620.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.86 : 9,282.54 = 1,746.86 : x
  2. Step 2: Convert to fraction form
    6,188.86/9,282.54 = 1,746.86/x
  3. Step 3: Cross multiply
    6,188.86x = 9,282.54 × 1,746.86
  4. Step 4: Simplify right side
    6,188.86x = 16,215,297.82
  5. Step 5: Solve for x
    x = 16,215,297.82/6,188.86
  6. Step 6: Final answer
    x = 2,620.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.