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Finding the Fourth Proportional to 6,954.24, 9,597 and 3,810.64

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Solution

The fourth proportional to 6,954.24, 9,597 and 3,810.64 is: 5,258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.24 : 9,597 = 3,810.64 : x
  2. Step 2: Convert to fraction form
    6,954.24/9,597 = 3,810.64/x
  3. Step 3: Cross multiply
    6,954.24x = 9,597 × 3,810.64
  4. Step 4: Simplify right side
    6,954.24x = 36,570,712.08
  5. Step 5: Solve for x
    x = 36,570,712.08/6,954.24
  6. Step 6: Final answer
    x = 5,258.76

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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.