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Finding the Fourth Proportional to 11,162.99, 16,747.66 and 9,102.49

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Solution

The fourth proportional to 11,162.99, 16,747.66 and 9,102.49 is: 13,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.99 : 16,747.66 = 9,102.49 : x
  2. Step 2: Convert to fraction form
    11,162.99/16,747.66 = 9,102.49/x
  3. Step 3: Cross multiply
    11,162.99x = 16,747.66 × 9,102.49
  4. Step 4: Simplify right side
    11,162.99x = 152,445,407.67
  5. Step 5: Solve for x
    x = 152,445,407.67/11,162.99
  6. Step 6: Final answer
    x = 13,656.32

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.