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Finding the Fourth Proportional to 6,964.52, 9,605.67 and 4,840.02

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Solution

The fourth proportional to 6,964.52, 9,605.67 and 4,840.02 is: 6,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.52 : 9,605.67 = 4,840.02 : x
  2. Step 2: Convert to fraction form
    6,964.52/9,605.67 = 4,840.02/x
  3. Step 3: Cross multiply
    6,964.52x = 9,605.67 × 4,840.02
  4. Step 4: Simplify right side
    6,964.52x = 46,491,616.76
  5. Step 5: Solve for x
    x = 46,491,616.76/6,964.52
  6. Step 6: Final answer
    x = 6,675.50

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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.