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Finding the Fourth Proportional to 6,588.87, 9,878.93 and 3,628.71

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Solution

The fourth proportional to 6,588.87, 9,878.93 and 3,628.71 is: 5,440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.87 : 9,878.93 = 3,628.71 : x
  2. Step 2: Convert to fraction form
    6,588.87/9,878.93 = 3,628.71/x
  3. Step 3: Cross multiply
    6,588.87x = 9,878.93 × 3,628.71
  4. Step 4: Simplify right side
    6,588.87x = 35,847,781.15
  5. Step 5: Solve for x
    x = 35,847,781.15/6,588.87
  6. Step 6: Final answer
    x = 5,440.66

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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.