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Finding the Fourth Proportional to 15,504.52, 21,396.09 and 8,431

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Solution

The fourth proportional to 15,504.52, 21,396.09 and 8,431 is: 11,634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,504.52 : 21,396.09 = 8,431 : x
  2. Step 2: Convert to fraction form
    15,504.52/21,396.09 = 8,431/x
  3. Step 3: Cross multiply
    15,504.52x = 21,396.09 × 8,431
  4. Step 4: Simplify right side
    15,504.52x = 180,390,434.79
  5. Step 5: Solve for x
    x = 180,390,434.79/15,504.52
  6. Step 6: Final answer
    x = 11,634.70

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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.