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Finding the Fourth Proportional to 6,494.98, 8,962.53 and 3,663.05

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Solution

The fourth proportional to 6,494.98, 8,962.53 and 3,663.05 is: 5,054.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.98 : 8,962.53 = 3,663.05 : x
  2. Step 2: Convert to fraction form
    6,494.98/8,962.53 = 3,663.05/x
  3. Step 3: Cross multiply
    6,494.98x = 8,962.53 × 3,663.05
  4. Step 4: Simplify right side
    6,494.98x = 32,830,217.92
  5. Step 5: Solve for x
    x = 32,830,217.92/6,494.98
  6. Step 6: Final answer
    x = 5,054.71

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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.