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Finding the Fourth Proportional to 9,858.71, 13,604.81 and 5,382.24

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Solution

The fourth proportional to 9,858.71, 13,604.81 and 5,382.24 is: 7,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.71 : 13,604.81 = 5,382.24 : x
  2. Step 2: Convert to fraction form
    9,858.71/13,604.81 = 5,382.24/x
  3. Step 3: Cross multiply
    9,858.71x = 13,604.81 × 5,382.24
  4. Step 4: Simplify right side
    9,858.71x = 73,224,325.66
  5. Step 5: Solve for x
    x = 73,224,325.66/9,858.71
  6. Step 6: Final answer
    x = 7,427.38

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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.