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Finding the Fourth Proportional to 5,497.37, 8,254.31 and 5,306.01

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Solution

The fourth proportional to 5,497.37, 8,254.31 and 5,306.01 is: 7,966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.37 : 8,254.31 = 5,306.01 : x
  2. Step 2: Convert to fraction form
    5,497.37/8,254.31 = 5,306.01/x
  3. Step 3: Cross multiply
    5,497.37x = 8,254.31 × 5,306.01
  4. Step 4: Simplify right side
    5,497.37x = 43,797,393.92
  5. Step 5: Solve for x
    x = 43,797,393.92/5,497.37
  6. Step 6: Final answer
    x = 7,966.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.