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Finding the Fourth Proportional to 8,077.75, 11,147.75 and 4,541.19

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Solution

The fourth proportional to 8,077.75, 11,147.75 and 4,541.19 is: 6,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.75 : 11,147.75 = 4,541.19 : x
  2. Step 2: Convert to fraction form
    8,077.75/11,147.75 = 4,541.19/x
  3. Step 3: Cross multiply
    8,077.75x = 11,147.75 × 4,541.19
  4. Step 4: Simplify right side
    8,077.75x = 50,624,050.82
  5. Step 5: Solve for x
    x = 50,624,050.82/8,077.75
  6. Step 6: Final answer
    x = 6,267.10

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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.