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Finding the Fourth Proportional to 11,203.14, 16,792.95 and 8,564.94

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Solution

The fourth proportional to 11,203.14, 16,792.95 and 8,564.94 is: 12,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,203.14 : 16,792.95 = 8,564.94 : x
  2. Step 2: Convert to fraction form
    11,203.14/16,792.95 = 8,564.94/x
  3. Step 3: Cross multiply
    11,203.14x = 16,792.95 × 8,564.94
  4. Step 4: Simplify right side
    11,203.14x = 143,830,609.17
  5. Step 5: Solve for x
    x = 143,830,609.17/11,203.14
  6. Step 6: Final answer
    x = 12,838.42

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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.