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Finding the Fourth Proportional to 14,906.94, 20,564.16 and 8,937.24

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Solution

The fourth proportional to 14,906.94, 20,564.16 and 8,937.24 is: 12,328.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.94 : 20,564.16 = 8,937.24 : x
  2. Step 2: Convert to fraction form
    14,906.94/20,564.16 = 8,937.24/x
  3. Step 3: Cross multiply
    14,906.94x = 20,564.16 × 8,937.24
  4. Step 4: Simplify right side
    14,906.94x = 183,786,833.32
  5. Step 5: Solve for x
    x = 183,786,833.32/14,906.94
  6. Step 6: Final answer
    x = 12,328.94

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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.