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Finding the Fourth Proportional to 6,703.61, 9,251.15 and 3,678.86

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Solution

The fourth proportional to 6,703.61, 9,251.15 and 3,678.86 is: 5,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.61 : 9,251.15 = 3,678.86 : x
  2. Step 2: Convert to fraction form
    6,703.61/9,251.15 = 3,678.86/x
  3. Step 3: Cross multiply
    6,703.61x = 9,251.15 × 3,678.86
  4. Step 4: Simplify right side
    6,703.61x = 34,033,690.42
  5. Step 5: Solve for x
    x = 34,033,690.42/6,703.61
  6. Step 6: Final answer
    x = 5,076.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.