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Finding the Fourth Proportional to 6,235.41, 9,307.49 and 5,497.32

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Solution

The fourth proportional to 6,235.41, 9,307.49 and 5,497.32 is: 8,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.41 : 9,307.49 = 5,497.32 : x
  2. Step 2: Convert to fraction form
    6,235.41/9,307.49 = 5,497.32/x
  3. Step 3: Cross multiply
    6,235.41x = 9,307.49 × 5,497.32
  4. Step 4: Simplify right side
    6,235.41x = 51,166,190.65
  5. Step 5: Solve for x
    x = 51,166,190.65/6,235.41
  6. Step 6: Final answer
    x = 8,205.75

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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.