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Finding the Fourth Proportional to 6,957, 9,605.70 and 4,477.32

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Solution

The fourth proportional to 6,957, 9,605.70 and 4,477.32 is: 6,181.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957 : 9,605.70 = 4,477.32 : x
  2. Step 2: Convert to fraction form
    6,957/9,605.70 = 4,477.32/x
  3. Step 3: Cross multiply
    6,957x = 9,605.70 × 4,477.32
  4. Step 4: Simplify right side
    6,957x = 43,007,792.72
  5. Step 5: Solve for x
    x = 43,007,792.72/6,957
  6. Step 6: Final answer
    x = 6,181.95

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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.