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Finding the Fourth Proportional to 27,607.60, 41,411.40 and 6,831.10

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Solution

The fourth proportional to 27,607.60, 41,411.40 and 6,831.10 is: 10,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,607.60 : 41,411.40 = 6,831.10 : x
  2. Step 2: Convert to fraction form
    27,607.60/41,411.40 = 6,831.10/x
  3. Step 3: Cross multiply
    27,607.60x = 41,411.40 × 6,831.10
  4. Step 4: Simplify right side
    27,607.60x = 282,885,414.54
  5. Step 5: Solve for x
    x = 282,885,414.54/27,607.60
  6. Step 6: Final answer
    x = 10,246.65

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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.