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Finding the Fourth Proportional to 7,797.86, 11,701.53 and 4,102.73

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Solution

The fourth proportional to 7,797.86, 11,701.53 and 4,102.73 is: 6,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.86 : 11,701.53 = 4,102.73 : x
  2. Step 2: Convert to fraction form
    7,797.86/11,701.53 = 4,102.73/x
  3. Step 3: Cross multiply
    7,797.86x = 11,701.53 × 4,102.73
  4. Step 4: Simplify right side
    7,797.86x = 48,008,159.67
  5. Step 5: Solve for x
    x = 48,008,159.67/7,797.86
  6. Step 6: Final answer
    x = 6,156.59

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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.