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Finding the Fourth Proportional to 6,306.77, 9,460.14 and 3,497.32

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Solution

The fourth proportional to 6,306.77, 9,460.14 and 3,497.32 is: 5,245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.77 : 9,460.14 = 3,497.32 : x
  2. Step 2: Convert to fraction form
    6,306.77/9,460.14 = 3,497.32/x
  3. Step 3: Cross multiply
    6,306.77x = 9,460.14 × 3,497.32
  4. Step 4: Simplify right side
    6,306.77x = 33,085,113.17
  5. Step 5: Solve for x
    x = 33,085,113.17/6,306.77
  6. Step 6: Final answer
    x = 5,245.97

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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.