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Finding the Fourth Proportional to 10,097.93, 13,934.22 and 7,446.80

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Solution

The fourth proportional to 10,097.93, 13,934.22 and 7,446.80 is: 10,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.93 : 13,934.22 = 7,446.80 : x
  2. Step 2: Convert to fraction form
    10,097.93/13,934.22 = 7,446.80/x
  3. Step 3: Cross multiply
    10,097.93x = 13,934.22 × 7,446.80
  4. Step 4: Simplify right side
    10,097.93x = 103,765,349.50
  5. Step 5: Solve for x
    x = 103,765,349.50/10,097.93
  6. Step 6: Final answer
    x = 10,275.90

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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.