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Finding the Fourth Proportional to 8,831.16, 12,165.24 and 7,568.16

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Solution

The fourth proportional to 8,831.16, 12,165.24 and 7,568.16 is: 10,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,831.16 : 12,165.24 = 7,568.16 : x
  2. Step 2: Convert to fraction form
    8,831.16/12,165.24 = 7,568.16/x
  3. Step 3: Cross multiply
    8,831.16x = 12,165.24 × 7,568.16
  4. Step 4: Simplify right side
    8,831.16x = 92,068,482.76
  5. Step 5: Solve for x
    x = 92,068,482.76/8,831.16
  6. Step 6: Final answer
    x = 10,425.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.