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Finding the Fourth Proportional to 6,896.67, 9,511.86 and 4,506.45

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Solution

The fourth proportional to 6,896.67, 9,511.86 and 4,506.45 is: 6,215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.67 : 9,511.86 = 4,506.45 : x
  2. Step 2: Convert to fraction form
    6,896.67/9,511.86 = 4,506.45/x
  3. Step 3: Cross multiply
    6,896.67x = 9,511.86 × 4,506.45
  4. Step 4: Simplify right side
    6,896.67x = 42,864,721.50
  5. Step 5: Solve for x
    x = 42,864,721.50/6,896.67
  6. Step 6: Final answer
    x = 6,215.28

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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.