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Finding the Fourth Proportional to 7,969.26, 11,957.25 and 4,270.50

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Solution

The fourth proportional to 7,969.26, 11,957.25 and 4,270.50 is: 6,407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.26 : 11,957.25 = 4,270.50 : x
  2. Step 2: Convert to fraction form
    7,969.26/11,957.25 = 4,270.50/x
  3. Step 3: Cross multiply
    7,969.26x = 11,957.25 × 4,270.50
  4. Step 4: Simplify right side
    7,969.26x = 51,063,436.13
  5. Step 5: Solve for x
    x = 51,063,436.13/7,969.26
  6. Step 6: Final answer
    x = 6,407.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.