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Finding the Fourth Proportional to 16,265.70, 24,362.10 and 8,465.40

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Solution

The fourth proportional to 16,265.70, 24,362.10 and 8,465.40 is: 12,679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.70 : 24,362.10 = 8,465.40 : x
  2. Step 2: Convert to fraction form
    16,265.70/24,362.10 = 8,465.40/x
  3. Step 3: Cross multiply
    16,265.70x = 24,362.10 × 8,465.40
  4. Step 4: Simplify right side
    16,265.70x = 206,234,921.34
  5. Step 5: Solve for x
    x = 206,234,921.34/16,265.70
  6. Step 6: Final answer
    x = 12,679.13

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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.