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Finding the Fourth Proportional to 8,831.76, 13,222.06 and 6,878.04

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Solution

The fourth proportional to 8,831.76, 13,222.06 and 6,878.04 is: 10,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,831.76 : 13,222.06 = 6,878.04 : x
  2. Step 2: Convert to fraction form
    8,831.76/13,222.06 = 6,878.04/x
  3. Step 3: Cross multiply
    8,831.76x = 13,222.06 × 6,878.04
  4. Step 4: Simplify right side
    8,831.76x = 90,941,857.56
  5. Step 5: Solve for x
    x = 90,941,857.56/8,831.76
  6. Step 6: Final answer
    x = 10,297.14

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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.