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Finding the Fourth Proportional to 6,857.86, 9,454.15 and 4,867.69

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Solution

The fourth proportional to 6,857.86, 9,454.15 and 4,867.69 is: 6,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.86 : 9,454.15 = 4,867.69 : x
  2. Step 2: Convert to fraction form
    6,857.86/9,454.15 = 4,867.69/x
  3. Step 3: Cross multiply
    6,857.86x = 9,454.15 × 4,867.69
  4. Step 4: Simplify right side
    6,857.86x = 46,019,871.41
  5. Step 5: Solve for x
    x = 46,019,871.41/6,857.86
  6. Step 6: Final answer
    x = 6,710.53

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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.