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Finding the Fourth Proportional to 6,411.84, 8,842.95 and 5,083.44

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Solution

The fourth proportional to 6,411.84, 8,842.95 and 5,083.44 is: 7,010.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.84 : 8,842.95 = 5,083.44 : x
  2. Step 2: Convert to fraction form
    6,411.84/8,842.95 = 5,083.44/x
  3. Step 3: Cross multiply
    6,411.84x = 8,842.95 × 5,083.44
  4. Step 4: Simplify right side
    6,411.84x = 44,952,605.75
  5. Step 5: Solve for x
    x = 44,952,605.75/6,411.84
  6. Step 6: Final answer
    x = 7,010.87

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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.