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Finding the Fourth Proportional to 7,773.56, 11,663.80 and 4,074.92

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Solution

The fourth proportional to 7,773.56, 11,663.80 and 4,074.92 is: 6,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.56 : 11,663.80 = 4,074.92 : x
  2. Step 2: Convert to fraction form
    7,773.56/11,663.80 = 4,074.92/x
  3. Step 3: Cross multiply
    7,773.56x = 11,663.80 × 4,074.92
  4. Step 4: Simplify right side
    7,773.56x = 47,529,051.90
  5. Step 5: Solve for x
    x = 47,529,051.90/7,773.56
  6. Step 6: Final answer
    x = 6,114.19

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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.