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Finding the Fourth Proportional to 4,496.40, 6,187.86 and 4,165.92

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Solution

The fourth proportional to 4,496.40, 6,187.86 and 4,165.92 is: 5,733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.40 : 6,187.86 = 4,165.92 : x
  2. Step 2: Convert to fraction form
    4,496.40/6,187.86 = 4,165.92/x
  3. Step 3: Cross multiply
    4,496.40x = 6,187.86 × 4,165.92
  4. Step 4: Simplify right side
    4,496.40x = 25,778,129.73
  5. Step 5: Solve for x
    x = 25,778,129.73/4,496.40
  6. Step 6: Final answer
    x = 5,733.06

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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.