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Finding the Fourth Proportional to 9,767.13, 14,655.86 and 5,327.99

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Solution

The fourth proportional to 9,767.13, 14,655.86 and 5,327.99 is: 7,994.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.13 : 14,655.86 = 5,327.99 : x
  2. Step 2: Convert to fraction form
    9,767.13/14,655.86 = 5,327.99/x
  3. Step 3: Cross multiply
    9,767.13x = 14,655.86 × 5,327.99
  4. Step 4: Simplify right side
    9,767.13x = 78,086,175.60
  5. Step 5: Solve for x
    x = 78,086,175.60/9,767.13
  6. Step 6: Final answer
    x = 7,994.79

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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.