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Finding the Fourth Proportional to 9,215.16, 13,825.16 and 4,831.44

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Solution

The fourth proportional to 9,215.16, 13,825.16 and 4,831.44 is: 7,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.16 : 13,825.16 = 4,831.44 : x
  2. Step 2: Convert to fraction form
    9,215.16/13,825.16 = 4,831.44/x
  3. Step 3: Cross multiply
    9,215.16x = 13,825.16 × 4,831.44
  4. Step 4: Simplify right side
    9,215.16x = 66,795,431.03
  5. Step 5: Solve for x
    x = 66,795,431.03/9,215.16
  6. Step 6: Final answer
    x = 7,248.43

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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.