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Finding the Fourth Proportional to 6,796.64, 9,378.77 and 4,558.11

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Solution

The fourth proportional to 6,796.64, 9,378.77 and 4,558.11 is: 6,289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.64 : 9,378.77 = 4,558.11 : x
  2. Step 2: Convert to fraction form
    6,796.64/9,378.77 = 4,558.11/x
  3. Step 3: Cross multiply
    6,796.64x = 9,378.77 × 4,558.11
  4. Step 4: Simplify right side
    6,796.64x = 42,749,442.53
  5. Step 5: Solve for x
    x = 42,749,442.53/6,796.64
  6. Step 6: Final answer
    x = 6,289.80

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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.