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Finding the Fourth Proportional to 16,402.92, 24,598.29 and 6,914.58

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Solution

The fourth proportional to 16,402.92, 24,598.29 and 6,914.58 is: 10,369.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.92 : 24,598.29 = 6,914.58 : x
  2. Step 2: Convert to fraction form
    16,402.92/24,598.29 = 6,914.58/x
  3. Step 3: Cross multiply
    16,402.92x = 24,598.29 × 6,914.58
  4. Step 4: Simplify right side
    16,402.92x = 170,086,844.07
  5. Step 5: Solve for x
    x = 170,086,844.07/16,402.92
  6. Step 6: Final answer
    x = 10,369.30

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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.