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Finding the Fourth Proportional to 7,951.83, 10,971.75 and 4,807.95

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Solution

The fourth proportional to 7,951.83, 10,971.75 and 4,807.95 is: 6,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.83 : 10,971.75 = 4,807.95 : x
  2. Step 2: Convert to fraction form
    7,951.83/10,971.75 = 4,807.95/x
  3. Step 3: Cross multiply
    7,951.83x = 10,971.75 × 4,807.95
  4. Step 4: Simplify right side
    7,951.83x = 52,751,625.41
  5. Step 5: Solve for x
    x = 52,751,625.41/7,951.83
  6. Step 6: Final answer
    x = 6,633.90

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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.