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Finding the Fourth Proportional to 15,360.67, 23,041 and 8,782.25

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Solution

The fourth proportional to 15,360.67, 23,041 and 8,782.25 is: 13,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,360.67 : 23,041 = 8,782.25 : x
  2. Step 2: Convert to fraction form
    15,360.67/23,041 = 8,782.25/x
  3. Step 3: Cross multiply
    15,360.67x = 23,041 × 8,782.25
  4. Step 4: Simplify right side
    15,360.67x = 202,351,707.05
  5. Step 5: Solve for x
    x = 202,351,707.05/15,360.67
  6. Step 6: Final answer
    x = 13,173.36

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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.