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Finding the Fourth Proportional to 6,905.60, 10,358.40 and 6,650.45

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Solution

The fourth proportional to 6,905.60, 10,358.40 and 6,650.45 is: 9,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.60 : 10,358.40 = 6,650.45 : x
  2. Step 2: Convert to fraction form
    6,905.60/10,358.40 = 6,650.45/x
  3. Step 3: Cross multiply
    6,905.60x = 10,358.40 × 6,650.45
  4. Step 4: Simplify right side
    6,905.60x = 68,888,021.28
  5. Step 5: Solve for x
    x = 68,888,021.28/6,905.60
  6. Step 6: Final answer
    x = 9,975.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.