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Finding the Fourth Proportional to 7,576.75, 10,455.84 and 4,219.37

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Solution

The fourth proportional to 7,576.75, 10,455.84 and 4,219.37 is: 5,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.75 : 10,455.84 = 4,219.37 : x
  2. Step 2: Convert to fraction form
    7,576.75/10,455.84 = 4,219.37/x
  3. Step 3: Cross multiply
    7,576.75x = 10,455.84 × 4,219.37
  4. Step 4: Simplify right side
    7,576.75x = 44,117,005.34
  5. Step 5: Solve for x
    x = 44,117,005.34/7,576.75
  6. Step 6: Final answer
    x = 5,822.68

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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.