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Finding the Fourth Proportional to 7,735.64, 10,682.74 and 6,610

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Solution

The fourth proportional to 7,735.64, 10,682.74 and 6,610 is: 9,128.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.64 : 10,682.74 = 6,610 : x
  2. Step 2: Convert to fraction form
    7,735.64/10,682.74 = 6,610/x
  3. Step 3: Cross multiply
    7,735.64x = 10,682.74 × 6,610
  4. Step 4: Simplify right side
    7,735.64x = 70,612,911.40
  5. Step 5: Solve for x
    x = 70,612,911.40/7,735.64
  6. Step 6: Final answer
    x = 9,128.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.