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Finding the Fourth Proportional to 6,318.45, 9,477.71 and 2,807.63

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Solution

The fourth proportional to 6,318.45, 9,477.71 and 2,807.63 is: 4,211.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.45 : 9,477.71 = 2,807.63 : x
  2. Step 2: Convert to fraction form
    6,318.45/9,477.71 = 2,807.63/x
  3. Step 3: Cross multiply
    6,318.45x = 9,477.71 × 2,807.63
  4. Step 4: Simplify right side
    6,318.45x = 26,609,841.50
  5. Step 5: Solve for x
    x = 26,609,841.50/6,318.45
  6. Step 6: Final answer
    x = 4,211.45

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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.