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Finding the Fourth Proportional to 11,604.96, 16,014.72 and 6,569.10

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Solution

The fourth proportional to 11,604.96, 16,014.72 and 6,569.10 is: 9,065.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.96 : 16,014.72 = 6,569.10 : x
  2. Step 2: Convert to fraction form
    11,604.96/16,014.72 = 6,569.10/x
  3. Step 3: Cross multiply
    11,604.96x = 16,014.72 × 6,569.10
  4. Step 4: Simplify right side
    11,604.96x = 105,202,297.15
  5. Step 5: Solve for x
    x = 105,202,297.15/11,604.96
  6. Step 6: Final answer
    x = 9,065.29

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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.