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Finding the Fourth Proportional to 7,951.38, 10,971.06 and 4,807.50

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Solution

The fourth proportional to 7,951.38, 10,971.06 and 4,807.50 is: 6,633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.38 : 10,971.06 = 4,807.50 : x
  2. Step 2: Convert to fraction form
    7,951.38/10,971.06 = 4,807.50/x
  3. Step 3: Cross multiply
    7,951.38x = 10,971.06 × 4,807.50
  4. Step 4: Simplify right side
    7,951.38x = 52,743,370.95
  5. Step 5: Solve for x
    x = 52,743,370.95/7,951.38
  6. Step 6: Final answer
    x = 6,633.23

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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.