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Finding the Fourth Proportional to 6,828.06, 9,419.52 and 4,437.86

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Solution

The fourth proportional to 6,828.06, 9,419.52 and 4,437.86 is: 6,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.06 : 9,419.52 = 4,437.86 : x
  2. Step 2: Convert to fraction form
    6,828.06/9,419.52 = 4,437.86/x
  3. Step 3: Cross multiply
    6,828.06x = 9,419.52 × 4,437.86
  4. Step 4: Simplify right side
    6,828.06x = 41,802,511.03
  5. Step 5: Solve for x
    x = 41,802,511.03/6,828.06
  6. Step 6: Final answer
    x = 6,122.17

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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.