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Finding the Fourth Proportional to 6,517.17, 8,993.68 and 3,533

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Solution

The fourth proportional to 6,517.17, 8,993.68 and 3,533 is: 4,875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.17 : 8,993.68 = 3,533 : x
  2. Step 2: Convert to fraction form
    6,517.17/8,993.68 = 3,533/x
  3. Step 3: Cross multiply
    6,517.17x = 8,993.68 × 3,533
  4. Step 4: Simplify right side
    6,517.17x = 31,774,671.44
  5. Step 5: Solve for x
    x = 31,774,671.44/6,517.17
  6. Step 6: Final answer
    x = 4,875.53

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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.