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Finding the Fourth Proportional to 6,516.60, 9,774.90 and 2,356.58

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Solution

The fourth proportional to 6,516.60, 9,774.90 and 2,356.58 is: 3,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.60 : 9,774.90 = 2,356.58 : x
  2. Step 2: Convert to fraction form
    6,516.60/9,774.90 = 2,356.58/x
  3. Step 3: Cross multiply
    6,516.60x = 9,774.90 × 2,356.58
  4. Step 4: Simplify right side
    6,516.60x = 23,035,333.84
  5. Step 5: Solve for x
    x = 23,035,333.84/6,516.60
  6. Step 6: Final answer
    x = 3,534.87

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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.