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Finding the Fourth Proportional to 9,858.12, 13,600.94 and 6,502.60

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Solution

The fourth proportional to 9,858.12, 13,600.94 and 6,502.60 is: 8,971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.12 : 13,600.94 = 6,502.60 : x
  2. Step 2: Convert to fraction form
    9,858.12/13,600.94 = 6,502.60/x
  3. Step 3: Cross multiply
    9,858.12x = 13,600.94 × 6,502.60
  4. Step 4: Simplify right side
    9,858.12x = 88,441,472.44
  5. Step 5: Solve for x
    x = 88,441,472.44/9,858.12
  6. Step 6: Final answer
    x = 8,971.43

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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.