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Finding the Fourth Proportional to 9,804.95, 14,710.17 and 3,965.66

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Solution

The fourth proportional to 9,804.95, 14,710.17 and 3,965.66 is: 5,949.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.95 : 14,710.17 = 3,965.66 : x
  2. Step 2: Convert to fraction form
    9,804.95/14,710.17 = 3,965.66/x
  3. Step 3: Cross multiply
    9,804.95x = 14,710.17 × 3,965.66
  4. Step 4: Simplify right side
    9,804.95x = 58,335,439.38
  5. Step 5: Solve for x
    x = 58,335,439.38/9,804.95
  6. Step 6: Final answer
    x = 5,949.59

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1.5x scale

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.