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Finding the Fourth Proportional to 9,804.87, 14,614.94 and 9,017.55

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Solution

The fourth proportional to 9,804.87, 14,614.94 and 9,017.55 is: 13,441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.87 : 14,614.94 = 9,017.55 : x
  2. Step 2: Convert to fraction form
    9,804.87/14,614.94 = 9,017.55/x
  3. Step 3: Cross multiply
    9,804.87x = 14,614.94 × 9,017.55
  4. Step 4: Simplify right side
    9,804.87x = 131,790,974.74
  5. Step 5: Solve for x
    x = 131,790,974.74/9,804.87
  6. Step 6: Final answer
    x = 13,441.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.