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Finding the Fourth Proportional to 6,525.90, 9,780.57 and 3,055.50

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Solution

The fourth proportional to 6,525.90, 9,780.57 and 3,055.50 is: 4,579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.90 : 9,780.57 = 3,055.50 : x
  2. Step 2: Convert to fraction form
    6,525.90/9,780.57 = 3,055.50/x
  3. Step 3: Cross multiply
    6,525.90x = 9,780.57 × 3,055.50
  4. Step 4: Simplify right side
    6,525.90x = 29,884,531.64
  5. Step 5: Solve for x
    x = 29,884,531.64/6,525.90
  6. Step 6: Final answer
    x = 4,579.37

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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.