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Finding the Fourth Proportional to 15,775.74, 23,644.14 and 8,749.80

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Solution

The fourth proportional to 15,775.74, 23,644.14 and 8,749.80 is: 13,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,775.74 : 23,644.14 = 8,749.80 : x
  2. Step 2: Convert to fraction form
    15,775.74/23,644.14 = 8,749.80/x
  3. Step 3: Cross multiply
    15,775.74x = 23,644.14 × 8,749.80
  4. Step 4: Simplify right side
    15,775.74x = 206,881,496.17
  5. Step 5: Solve for x
    x = 206,881,496.17/15,775.74
  6. Step 6: Final answer
    x = 13,113.90

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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.