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Finding the Fourth Proportional to 6,355.74, 8,771.78 and 3,703.98

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Solution

The fourth proportional to 6,355.74, 8,771.78 and 3,703.98 is: 5,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.74 : 8,771.78 = 3,703.98 : x
  2. Step 2: Convert to fraction form
    6,355.74/8,771.78 = 3,703.98/x
  3. Step 3: Cross multiply
    6,355.74x = 8,771.78 × 3,703.98
  4. Step 4: Simplify right side
    6,355.74x = 32,490,497.68
  5. Step 5: Solve for x
    x = 32,490,497.68/6,355.74
  6. Step 6: Final answer
    x = 5,111.99

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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.