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Finding the Fourth Proportional to 15,892.42, 23,837.07 and 9,650.77

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Solution

The fourth proportional to 15,892.42, 23,837.07 and 9,650.77 is: 14,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.42 : 23,837.07 = 9,650.77 : x
  2. Step 2: Convert to fraction form
    15,892.42/23,837.07 = 9,650.77/x
  3. Step 3: Cross multiply
    15,892.42x = 23,837.07 × 9,650.77
  4. Step 4: Simplify right side
    15,892.42x = 230,046,080.04
  5. Step 5: Solve for x
    x = 230,046,080.04/15,892.42
  6. Step 6: Final answer
    x = 14,475.21

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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.