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Finding the Fourth Proportional to 8,465.92, 11,682.06 and 4,688.68

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Solution

The fourth proportional to 8,465.92, 11,682.06 and 4,688.68 is: 6,469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.92 : 11,682.06 = 4,688.68 : x
  2. Step 2: Convert to fraction form
    8,465.92/11,682.06 = 4,688.68/x
  3. Step 3: Cross multiply
    8,465.92x = 11,682.06 × 4,688.68
  4. Step 4: Simplify right side
    8,465.92x = 54,773,441.08
  5. Step 5: Solve for x
    x = 54,773,441.08/8,465.92
  6. Step 6: Final answer
    x = 6,469.87

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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.