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Finding the Fourth Proportional to 15,965.76, 23,948.22 and 7,649.16

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Solution

The fourth proportional to 15,965.76, 23,948.22 and 7,649.16 is: 11,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.76 : 23,948.22 = 7,649.16 : x
  2. Step 2: Convert to fraction form
    15,965.76/23,948.22 = 7,649.16/x
  3. Step 3: Cross multiply
    15,965.76x = 23,948.22 × 7,649.16
  4. Step 4: Simplify right side
    15,965.76x = 183,183,766.50
  5. Step 5: Solve for x
    x = 183,183,766.50/15,965.76
  6. Step 6: Final answer
    x = 11,473.54

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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.