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Finding the Fourth Proportional to 14,314.54, 19,755.08 and 7,943.22

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Solution

The fourth proportional to 14,314.54, 19,755.08 and 7,943.22 is: 10,962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.54 : 19,755.08 = 7,943.22 : x
  2. Step 2: Convert to fraction form
    14,314.54/19,755.08 = 7,943.22/x
  3. Step 3: Cross multiply
    14,314.54x = 19,755.08 × 7,943.22
  4. Step 4: Simplify right side
    14,314.54x = 156,918,946.56
  5. Step 5: Solve for x
    x = 156,918,946.56/14,314.54
  6. Step 6: Final answer
    x = 10,962.21

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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.