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Finding the Fourth Proportional to 16,316.76, 24,478.14 and 6,956.76

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Solution

The fourth proportional to 16,316.76, 24,478.14 and 6,956.76 is: 10,436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,316.76 : 24,478.14 = 6,956.76 : x
  2. Step 2: Convert to fraction form
    16,316.76/24,478.14 = 6,956.76/x
  3. Step 3: Cross multiply
    16,316.76x = 24,478.14 × 6,956.76
  4. Step 4: Simplify right side
    16,316.76x = 170,288,545.23
  5. Step 5: Solve for x
    x = 170,288,545.23/16,316.76
  6. Step 6: Final answer
    x = 10,436.42

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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.