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Finding the Fourth Proportional to 6,588.57, 9,881.64 and 2,205.93

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Solution

The fourth proportional to 6,588.57, 9,881.64 and 2,205.93 is: 3,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.57 : 9,881.64 = 2,205.93 : x
  2. Step 2: Convert to fraction form
    6,588.57/9,881.64 = 2,205.93/x
  3. Step 3: Cross multiply
    6,588.57x = 9,881.64 × 2,205.93
  4. Step 4: Simplify right side
    6,588.57x = 21,798,206.13
  5. Step 5: Solve for x
    x = 21,798,206.13/6,588.57
  6. Step 6: Final answer
    x = 3,308.49

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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.