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Finding the Fourth Proportional to 9,854.01, 13,600.82 and 6,497.41

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Solution

The fourth proportional to 9,854.01, 13,600.82 and 6,497.41 is: 8,967.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.01 : 13,600.82 = 6,497.41 : x
  2. Step 2: Convert to fraction form
    9,854.01/13,600.82 = 6,497.41/x
  3. Step 3: Cross multiply
    9,854.01x = 13,600.82 × 6,497.41
  4. Step 4: Simplify right side
    9,854.01x = 88,370,103.88
  5. Step 5: Solve for x
    x = 88,370,103.88/9,854.01
  6. Step 6: Final answer
    x = 8,967.93

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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.