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Finding the Fourth Proportional to 6,656.58, 9,984.14 and 1,725.84

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Solution

The fourth proportional to 6,656.58, 9,984.14 and 1,725.84 is: 2,588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.58 : 9,984.14 = 1,725.84 : x
  2. Step 2: Convert to fraction form
    6,656.58/9,984.14 = 1,725.84/x
  3. Step 3: Cross multiply
    6,656.58x = 9,984.14 × 1,725.84
  4. Step 4: Simplify right side
    6,656.58x = 17,231,028.18
  5. Step 5: Solve for x
    x = 17,231,028.18/6,656.58
  6. Step 6: Final answer
    x = 2,588.57

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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.