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Finding the Fourth Proportional to 7,773.50, 10,727.62 and 4,415.78

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Solution

The fourth proportional to 7,773.50, 10,727.62 and 4,415.78 is: 6,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.50 : 10,727.62 = 4,415.78 : x
  2. Step 2: Convert to fraction form
    7,773.50/10,727.62 = 4,415.78/x
  3. Step 3: Cross multiply
    7,773.50x = 10,727.62 × 4,415.78
  4. Step 4: Simplify right side
    7,773.50x = 47,370,809.84
  5. Step 5: Solve for x
    x = 47,370,809.84/7,773.50
  6. Step 6: Final answer
    x = 6,093.88

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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.