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Finding the Fourth Proportional to 11,069.44, 15,276 and 6,101.44

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Solution

The fourth proportional to 11,069.44, 15,276 and 6,101.44 is: 8,420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,069.44 : 15,276 = 6,101.44 : x
  2. Step 2: Convert to fraction form
    11,069.44/15,276 = 6,101.44/x
  3. Step 3: Cross multiply
    11,069.44x = 15,276 × 6,101.44
  4. Step 4: Simplify right side
    11,069.44x = 93,205,597.44
  5. Step 5: Solve for x
    x = 93,205,597.44/11,069.44
  6. Step 6: Final answer
    x = 8,420.08

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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.