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Finding the Fourth Proportional to 8,465.84, 12,698.58 and 2,309.84

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Solution

The fourth proportional to 8,465.84, 12,698.58 and 2,309.84 is: 3,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.84 : 12,698.58 = 2,309.84 : x
  2. Step 2: Convert to fraction form
    8,465.84/12,698.58 = 2,309.84/x
  3. Step 3: Cross multiply
    8,465.84x = 12,698.58 × 2,309.84
  4. Step 4: Simplify right side
    8,465.84x = 29,331,688.03
  5. Step 5: Solve for x
    x = 29,331,688.03/8,465.84
  6. Step 6: Final answer
    x = 3,464.71

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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.