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Finding the Fourth Proportional to 14,270.76, 19,694.19 and 7,983.13

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Solution

The fourth proportional to 14,270.76, 19,694.19 and 7,983.13 is: 11,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,270.76 : 19,694.19 = 7,983.13 : x
  2. Step 2: Convert to fraction form
    14,270.76/19,694.19 = 7,983.13/x
  3. Step 3: Cross multiply
    14,270.76x = 19,694.19 × 7,983.13
  4. Step 4: Simplify right side
    14,270.76x = 157,221,279.01
  5. Step 5: Solve for x
    x = 157,221,279.01/14,270.76
  6. Step 6: Final answer
    x = 11,017.02

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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.