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Finding the Fourth Proportional to 4,822.65, 7,190.64 and 4,410.76

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Solution

The fourth proportional to 4,822.65, 7,190.64 and 4,410.76 is: 6,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.65 : 7,190.64 = 4,410.76 : x
  2. Step 2: Convert to fraction form
    4,822.65/7,190.64 = 4,410.76/x
  3. Step 3: Cross multiply
    4,822.65x = 7,190.64 × 4,410.76
  4. Step 4: Simplify right side
    4,822.65x = 31,716,197.15
  5. Step 5: Solve for x
    x = 31,716,197.15/4,822.65
  6. Step 6: Final answer
    x = 6,576.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.