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Finding the Fourth Proportional to 9,862.22, 13,609.86 and 6,325.44

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Solution

The fourth proportional to 9,862.22, 13,609.86 and 6,325.44 is: 8,729.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.22 : 13,609.86 = 6,325.44 : x
  2. Step 2: Convert to fraction form
    9,862.22/13,609.86 = 6,325.44/x
  3. Step 3: Cross multiply
    9,862.22x = 13,609.86 × 6,325.44
  4. Step 4: Simplify right side
    9,862.22x = 86,088,352.84
  5. Step 5: Solve for x
    x = 86,088,352.84/9,862.22
  6. Step 6: Final answer
    x = 8,729.11

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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.