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Finding the Fourth Proportional to 11,608.46, 16,020 and 6,828.76

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Solution

The fourth proportional to 11,608.46, 16,020 and 6,828.76 is: 9,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.46 : 16,020 = 6,828.76 : x
  2. Step 2: Convert to fraction form
    11,608.46/16,020 = 6,828.76/x
  3. Step 3: Cross multiply
    11,608.46x = 16,020 × 6,828.76
  4. Step 4: Simplify right side
    11,608.46x = 109,396,655.10
  5. Step 5: Solve for x
    x = 109,396,655.10/11,608.46
  6. Step 6: Final answer
    x = 9,423.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.