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Finding the Fourth Proportional to 6,896.03, 9,511.00 and 4,505.82

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Solution

The fourth proportional to 6,896.03, 9,511.00 and 4,505.82 is: 6,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.03 : 9,511.00 = 4,505.82 : x
  2. Step 2: Convert to fraction form
    6,896.03/9,511.00 = 4,505.82/x
  3. Step 3: Cross multiply
    6,896.03x = 9,511.00 × 4,505.82
  4. Step 4: Simplify right side
    6,896.03x = 42,854,842.76
  5. Step 5: Solve for x
    x = 42,854,842.76/6,896.03
  6. Step 6: Final answer
    x = 6,214.42

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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.