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Finding the Fourth Proportional to 27,607.68, 41,411.04 and 6,831.12

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Solution

The fourth proportional to 27,607.68, 41,411.04 and 6,831.12 is: 10,246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,607.68 : 41,411.04 = 6,831.12 : x
  2. Step 2: Convert to fraction form
    27,607.68/41,411.04 = 6,831.12/x
  3. Step 3: Cross multiply
    27,607.68x = 41,411.04 × 6,831.12
  4. Step 4: Simplify right side
    27,607.68x = 282,883,783.56
  5. Step 5: Solve for x
    x = 282,883,783.56/27,607.68
  6. Step 6: Final answer
    x = 10,246.56

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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.