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Finding the Fourth Proportional to 4,688.82, 6,471 and 2,699.46

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Solution

The fourth proportional to 4,688.82, 6,471 and 2,699.46 is: 3,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.82 : 6,471 = 2,699.46 : x
  2. Step 2: Convert to fraction form
    4,688.82/6,471 = 2,699.46/x
  3. Step 3: Cross multiply
    4,688.82x = 6,471 × 2,699.46
  4. Step 4: Simplify right side
    4,688.82x = 17,468,205.66
  5. Step 5: Solve for x
    x = 17,468,205.66/4,688.82
  6. Step 6: Final answer
    x = 3,725.50

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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.