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Finding the Fourth Proportional to 7,698.84, 11,552.10 and 2,769.58

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Solution

The fourth proportional to 7,698.84, 11,552.10 and 2,769.58 is: 4,155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.84 : 11,552.10 = 2,769.58 : x
  2. Step 2: Convert to fraction form
    7,698.84/11,552.10 = 2,769.58/x
  3. Step 3: Cross multiply
    7,698.84x = 11,552.10 × 2,769.58
  4. Step 4: Simplify right side
    7,698.84x = 31,994,465.12
  5. Step 5: Solve for x
    x = 31,994,465.12/7,698.84
  6. Step 6: Final answer
    x = 4,155.75

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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.