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Finding the Fourth Proportional to 7,773.82, 10,727.47 and 4,237.00

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Solution

The fourth proportional to 7,773.82, 10,727.47 and 4,237.00 is: 5,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.82 : 10,727.47 = 4,237.00 : x
  2. Step 2: Convert to fraction form
    7,773.82/10,727.47 = 4,237.00/x
  3. Step 3: Cross multiply
    7,773.82x = 10,727.47 × 4,237.00
  4. Step 4: Simplify right side
    7,773.82x = 45,452,268.87
  5. Step 5: Solve for x
    x = 45,452,268.87/7,773.82
  6. Step 6: Final answer
    x = 5,846.84

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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.