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Finding the Fourth Proportional to 15,305.65, 22,970.76 and 7,912.26

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Solution

The fourth proportional to 15,305.65, 22,970.76 and 7,912.26 is: 11,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,305.65 : 22,970.76 = 7,912.26 : x
  2. Step 2: Convert to fraction form
    15,305.65/22,970.76 = 7,912.26/x
  3. Step 3: Cross multiply
    15,305.65x = 22,970.76 × 7,912.26
  4. Step 4: Simplify right side
    15,305.65x = 181,750,682.94
  5. Step 5: Solve for x
    x = 181,750,682.94/15,305.65
  6. Step 6: Final answer
    x = 11,874.74

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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.