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Finding the Fourth Proportional to 11,223.95, 15,486.98 and 6,747.77

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Solution

The fourth proportional to 11,223.95, 15,486.98 and 6,747.77 is: 9,310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.95 : 15,486.98 = 6,747.77 : x
  2. Step 2: Convert to fraction form
    11,223.95/15,486.98 = 6,747.77/x
  3. Step 3: Cross multiply
    11,223.95x = 15,486.98 × 6,747.77
  4. Step 4: Simplify right side
    11,223.95x = 104,502,584.01
  5. Step 5: Solve for x
    x = 104,502,584.01/11,223.95
  6. Step 6: Final answer
    x = 9,310.68

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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.