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Finding the Fourth Proportional to 9,804.11, 13,530.81 and 5,825.22

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Solution

The fourth proportional to 9,804.11, 13,530.81 and 5,825.22 is: 8,039.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.11 : 13,530.81 = 5,825.22 : x
  2. Step 2: Convert to fraction form
    9,804.11/13,530.81 = 5,825.22/x
  3. Step 3: Cross multiply
    9,804.11x = 13,530.81 × 5,825.22
  4. Step 4: Simplify right side
    9,804.11x = 78,819,916.13
  5. Step 5: Solve for x
    x = 78,819,916.13/9,804.11
  6. Step 6: Final answer
    x = 8,039.48

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1.5x scale

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.