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Finding the Fourth Proportional to 9,896.96, 13,657.92 and 6,173.12

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Solution

The fourth proportional to 9,896.96, 13,657.92 and 6,173.12 is: 8,518.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.96 : 13,657.92 = 6,173.12 : x
  2. Step 2: Convert to fraction form
    9,896.96/13,657.92 = 6,173.12/x
  3. Step 3: Cross multiply
    9,896.96x = 13,657.92 × 6,173.12
  4. Step 4: Simplify right side
    9,896.96x = 84,311,979.11
  5. Step 5: Solve for x
    x = 84,311,979.11/9,896.96
  6. Step 6: Final answer
    x = 8,518.98

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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.