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Finding the Fourth Proportional to 9,892.24, 13,657.66 and 8,828.18

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Solution

The fourth proportional to 9,892.24, 13,657.66 and 8,828.18 is: 12,188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.24 : 13,657.66 = 8,828.18 : x
  2. Step 2: Convert to fraction form
    9,892.24/13,657.66 = 8,828.18/x
  3. Step 3: Cross multiply
    9,892.24x = 13,657.66 × 8,828.18
  4. Step 4: Simplify right side
    9,892.24x = 120,572,241.72
  5. Step 5: Solve for x
    x = 120,572,241.72/9,892.24
  6. Step 6: Final answer
    x = 12,188.57

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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.