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Finding the Fourth Proportional to 6,523.06, 9,784.86 and 2,627.50

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Solution

The fourth proportional to 6,523.06, 9,784.86 and 2,627.50 is: 3,941.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.06 : 9,784.86 = 2,627.50 : x
  2. Step 2: Convert to fraction form
    6,523.06/9,784.86 = 2,627.50/x
  3. Step 3: Cross multiply
    6,523.06x = 9,784.86 × 2,627.50
  4. Step 4: Simplify right side
    6,523.06x = 25,709,719.65
  5. Step 5: Solve for x
    x = 25,709,719.65/6,523.06
  6. Step 6: Final answer
    x = 3,941.36

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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.