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Finding the Fourth Proportional to 6,235.53, 9,307.67 and 5,497.44

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Solution

The fourth proportional to 6,235.53, 9,307.67 and 5,497.44 is: 8,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.53 : 9,307.67 = 5,497.44 : x
  2. Step 2: Convert to fraction form
    6,235.53/9,307.67 = 5,497.44/x
  3. Step 3: Cross multiply
    6,235.53x = 9,307.67 × 5,497.44
  4. Step 4: Simplify right side
    6,235.53x = 51,168,371.11
  5. Step 5: Solve for x
    x = 51,168,371.11/6,235.53
  6. Step 6: Final answer
    x = 8,205.94

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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.