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Finding the Fourth Proportional to 6,776.96, 9,349.12 and 4,419.20

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Solution

The fourth proportional to 6,776.96, 9,349.12 and 4,419.20 is: 6,096.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.96 : 9,349.12 = 4,419.20 : x
  2. Step 2: Convert to fraction form
    6,776.96/9,349.12 = 4,419.20/x
  3. Step 3: Cross multiply
    6,776.96x = 9,349.12 × 4,419.20
  4. Step 4: Simplify right side
    6,776.96x = 41,315,631.10
  5. Step 5: Solve for x
    x = 41,315,631.10/6,776.96
  6. Step 6: Final answer
    x = 6,096.48

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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.