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Finding the Fourth Proportional to 11,102.84, 15,321.84 and 6,134.84

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Solution

The fourth proportional to 11,102.84, 15,321.84 and 6,134.84 is: 8,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.84 : 15,321.84 = 6,134.84 : x
  2. Step 2: Convert to fraction form
    11,102.84/15,321.84 = 6,134.84/x
  3. Step 3: Cross multiply
    11,102.84x = 15,321.84 × 6,134.84
  4. Step 4: Simplify right side
    11,102.84x = 93,997,036.91
  5. Step 5: Solve for x
    x = 93,997,036.91/11,102.84
  6. Step 6: Final answer
    x = 8,466.04

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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.