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Finding the Fourth Proportional to 7,970.31, 11,957.06 and 4,465.31

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Solution

The fourth proportional to 7,970.31, 11,957.06 and 4,465.31 is: 6,698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.31 : 11,957.06 = 4,465.31 : x
  2. Step 2: Convert to fraction form
    7,970.31/11,957.06 = 4,465.31/x
  3. Step 3: Cross multiply
    7,970.31x = 11,957.06 × 4,465.31
  4. Step 4: Simplify right side
    7,970.31x = 53,391,930.97
  5. Step 5: Solve for x
    x = 53,391,930.97/7,970.31
  6. Step 6: Final answer
    x = 6,698.85

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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.