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Finding the Fourth Proportional to 7,773.98, 11,670.73 and 6,233.18

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Solution

The fourth proportional to 7,773.98, 11,670.73 and 6,233.18 is: 9,357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.98 : 11,670.73 = 6,233.18 : x
  2. Step 2: Convert to fraction form
    7,773.98/11,670.73 = 6,233.18/x
  3. Step 3: Cross multiply
    7,773.98x = 11,670.73 × 6,233.18
  4. Step 4: Simplify right side
    7,773.98x = 72,745,774.42
  5. Step 5: Solve for x
    x = 72,745,774.42/7,773.98
  6. Step 6: Final answer
    x = 9,357.59

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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.