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Finding the Fourth Proportional to 11,029.16, 15,219 and 6,314.36

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Solution

The fourth proportional to 11,029.16, 15,219 and 6,314.36 is: 8,713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,029.16 : 15,219 = 6,314.36 : x
  2. Step 2: Convert to fraction form
    11,029.16/15,219 = 6,314.36/x
  3. Step 3: Cross multiply
    11,029.16x = 15,219 × 6,314.36
  4. Step 4: Simplify right side
    11,029.16x = 96,098,244.84
  5. Step 5: Solve for x
    x = 96,098,244.84/11,029.16
  6. Step 6: Final answer
    x = 8,713.11

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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.