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Finding the Fourth Proportional to 14,627, 21,943.68 and 6,831.56

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Solution

The fourth proportional to 14,627, 21,943.68 and 6,831.56 is: 10,248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,627 : 21,943.68 = 6,831.56 : x
  2. Step 2: Convert to fraction form
    14,627/21,943.68 = 6,831.56/x
  3. Step 3: Cross multiply
    14,627x = 21,943.68 × 6,831.56
  4. Step 4: Simplify right side
    14,627x = 149,909,566.54
  5. Step 5: Solve for x
    x = 149,909,566.54/14,627
  6. Step 6: Final answer
    x = 10,248.83

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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.