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Finding the Fourth Proportional to 16,595.16, 24,892.24 and 6,734.20

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Solution

The fourth proportional to 16,595.16, 24,892.24 and 6,734.20 is: 10,101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,595.16 : 24,892.24 = 6,734.20 : x
  2. Step 2: Convert to fraction form
    16,595.16/24,892.24 = 6,734.20/x
  3. Step 3: Cross multiply
    16,595.16x = 24,892.24 × 6,734.20
  4. Step 4: Simplify right side
    16,595.16x = 167,629,322.61
  5. Step 5: Solve for x
    x = 167,629,322.61/16,595.16
  6. Step 6: Final answer
    x = 10,101.10

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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.