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Finding the Fourth Proportional to 6,498.41, 8,968.31 and 3,703.85

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Solution

The fourth proportional to 6,498.41, 8,968.31 and 3,703.85 is: 5,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.41 : 8,968.31 = 3,703.85 : x
  2. Step 2: Convert to fraction form
    6,498.41/8,968.31 = 3,703.85/x
  3. Step 3: Cross multiply
    6,498.41x = 8,968.31 × 3,703.85
  4. Step 4: Simplify right side
    6,498.41x = 33,217,239.41
  5. Step 5: Solve for x
    x = 33,217,239.41/6,498.41
  6. Step 6: Final answer
    x = 5,111.60

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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.