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Finding the Fourth Proportional to 4,684.66, 6,473.38 and 4,456.86

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Solution

The fourth proportional to 4,684.66, 6,473.38 and 4,456.86 is: 6,158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.66 : 6,473.38 = 4,456.86 : x
  2. Step 2: Convert to fraction form
    4,684.66/6,473.38 = 4,456.86/x
  3. Step 3: Cross multiply
    4,684.66x = 6,473.38 × 4,456.86
  4. Step 4: Simplify right side
    4,684.66x = 28,850,948.39
  5. Step 5: Solve for x
    x = 28,850,948.39/4,684.66
  6. Step 6: Final answer
    x = 6,158.60

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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.