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Finding the Fourth Proportional to 9,697.29, 13,374.05 and 8,192.25

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Solution

The fourth proportional to 9,697.29, 13,374.05 and 8,192.25 is: 11,298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.29 : 13,374.05 = 8,192.25 : x
  2. Step 2: Convert to fraction form
    9,697.29/13,374.05 = 8,192.25/x
  3. Step 3: Cross multiply
    9,697.29x = 13,374.05 × 8,192.25
  4. Step 4: Simplify right side
    9,697.29x = 109,563,520.15
  5. Step 5: Solve for x
    x = 109,563,520.15/9,697.29
  6. Step 6: Final answer
    x = 11,298.36

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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.