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Finding the Fourth Proportional to 16,353, 22,576.05 and 11,515.14

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Solution

The fourth proportional to 16,353, 22,576.05 and 11,515.14 is: 15,897.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,353 : 22,576.05 = 11,515.14 : x
  2. Step 2: Convert to fraction form
    16,353/22,576.05 = 11,515.14/x
  3. Step 3: Cross multiply
    16,353x = 22,576.05 × 11,515.14
  4. Step 4: Simplify right side
    16,353x = 259,966,376.40
  5. Step 5: Solve for x
    x = 259,966,376.40/16,353
  6. Step 6: Final answer
    x = 15,897.17

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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.