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Finding the Fourth Proportional to 7,773.88, 10,727.76 and 4,237.02

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Solution

The fourth proportional to 7,773.88, 10,727.76 and 4,237.02 is: 5,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.88 : 10,727.76 = 4,237.02 : x
  2. Step 2: Convert to fraction form
    7,773.88/10,727.76 = 4,237.02/x
  3. Step 3: Cross multiply
    7,773.88x = 10,727.76 × 4,237.02
  4. Step 4: Simplify right side
    7,773.88x = 45,453,733.68
  5. Step 5: Solve for x
    x = 45,453,733.68/7,773.88
  6. Step 6: Final answer
    x = 5,846.98

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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.