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Finding the Fourth Proportional to 14,812.50, 22,229.68 and 7,021.32

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Solution

The fourth proportional to 14,812.50, 22,229.68 and 7,021.32 is: 10,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,812.50 : 22,229.68 = 7,021.32 : x
  2. Step 2: Convert to fraction form
    14,812.50/22,229.68 = 7,021.32/x
  3. Step 3: Cross multiply
    14,812.50x = 22,229.68 × 7,021.32
  4. Step 4: Simplify right side
    14,812.50x = 156,081,696.78
  5. Step 5: Solve for x
    x = 156,081,696.78/14,812.50
  6. Step 6: Final answer
    x = 10,537.16

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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.