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Finding the Fourth Proportional to 13,871.24, 19,142.02 and 7,583.24

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Solution

The fourth proportional to 13,871.24, 19,142.02 and 7,583.24 is: 10,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.24 : 19,142.02 = 7,583.24 : x
  2. Step 2: Convert to fraction form
    13,871.24/19,142.02 = 7,583.24/x
  3. Step 3: Cross multiply
    13,871.24x = 19,142.02 × 7,583.24
  4. Step 4: Simplify right side
    13,871.24x = 145,158,531.74
  5. Step 5: Solve for x
    x = 145,158,531.74/13,871.24
  6. Step 6: Final answer
    x = 10,464.71

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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.