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Finding the Fourth Proportional to 6,257.52, 9,361.98 and 4,303.80

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Solution

The fourth proportional to 6,257.52, 9,361.98 and 4,303.80 is: 6,438.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.52 : 9,361.98 = 4,303.80 : x
  2. Step 2: Convert to fraction form
    6,257.52/9,361.98 = 4,303.80/x
  3. Step 3: Cross multiply
    6,257.52x = 9,361.98 × 4,303.80
  4. Step 4: Simplify right side
    6,257.52x = 40,292,089.52
  5. Step 5: Solve for x
    x = 40,292,089.52/6,257.52
  6. Step 6: Final answer
    x = 6,438.99

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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.