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Finding the Fourth Proportional to 6,813.36, 9,406.74 and 4,459.48

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Solution

The fourth proportional to 6,813.36, 9,406.74 and 4,459.48 is: 6,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.36 : 9,406.74 = 4,459.48 : x
  2. Step 2: Convert to fraction form
    6,813.36/9,406.74 = 4,459.48/x
  3. Step 3: Cross multiply
    6,813.36x = 9,406.74 × 4,459.48
  4. Step 4: Simplify right side
    6,813.36x = 41,949,168.90
  5. Step 5: Solve for x
    x = 41,949,168.90/6,813.36
  6. Step 6: Final answer
    x = 6,156.90

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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.