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Finding the Fourth Proportional to 4,949.68, 6,833.74 and 4,417.64

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Solution

The fourth proportional to 4,949.68, 6,833.74 and 4,417.64 is: 6,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.68 : 6,833.74 = 4,417.64 : x
  2. Step 2: Convert to fraction form
    4,949.68/6,833.74 = 4,417.64/x
  3. Step 3: Cross multiply
    4,949.68x = 6,833.74 × 4,417.64
  4. Step 4: Simplify right side
    4,949.68x = 30,189,003.17
  5. Step 5: Solve for x
    x = 30,189,003.17/4,949.68
  6. Step 6: Final answer
    x = 6,099.18

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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.