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Finding the Fourth Proportional to 6,506.10, 8,970.81 and 6,155.78

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Solution

The fourth proportional to 6,506.10, 8,970.81 and 6,155.78 is: 8,487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.10 : 8,970.81 = 6,155.78 : x
  2. Step 2: Convert to fraction form
    6,506.10/8,970.81 = 6,155.78/x
  3. Step 3: Cross multiply
    6,506.10x = 8,970.81 × 6,155.78
  4. Step 4: Simplify right side
    6,506.10x = 55,222,287.93
  5. Step 5: Solve for x
    x = 55,222,287.93/6,506.10
  6. Step 6: Final answer
    x = 8,487.77

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