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Finding the Fourth Proportional to 7,097.41, 10,646.05 and 1,831.97

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Solution

The fourth proportional to 7,097.41, 10,646.05 and 1,831.97 is: 2,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.41 : 10,646.05 = 1,831.97 : x
  2. Step 2: Convert to fraction form
    7,097.41/10,646.05 = 1,831.97/x
  3. Step 3: Cross multiply
    7,097.41x = 10,646.05 × 1,831.97
  4. Step 4: Simplify right side
    7,097.41x = 19,503,190.99
  5. Step 5: Solve for x
    x = 19,503,190.99/7,097.41
  6. Step 6: Final answer
    x = 2,747.93

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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.