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Finding the Fourth Proportional to 14,653.24, 21,986.24 and 7,253.48

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Solution

The fourth proportional to 14,653.24, 21,986.24 and 7,253.48 is: 10,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.24 : 21,986.24 = 7,253.48 : x
  2. Step 2: Convert to fraction form
    14,653.24/21,986.24 = 7,253.48/x
  3. Step 3: Cross multiply
    14,653.24x = 21,986.24 × 7,253.48
  4. Step 4: Simplify right side
    14,653.24x = 159,476,770.81
  5. Step 5: Solve for x
    x = 159,476,770.81/14,653.24
  6. Step 6: Final answer
    x = 10,883.38

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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.