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Finding the Fourth Proportional to 8,572.56, 11,831.40 and 5,429.04

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Solution

The fourth proportional to 8,572.56, 11,831.40 and 5,429.04 is: 7,492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.56 : 11,831.40 = 5,429.04 : x
  2. Step 2: Convert to fraction form
    8,572.56/11,831.40 = 5,429.04/x
  3. Step 3: Cross multiply
    8,572.56x = 11,831.40 × 5,429.04
  4. Step 4: Simplify right side
    8,572.56x = 64,233,143.86
  5. Step 5: Solve for x
    x = 64,233,143.86/8,572.56
  6. Step 6: Final answer
    x = 7,492.88

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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.