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Finding the Fourth Proportional to 9,258.53, 13,871.62 and 7,708.49

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Solution

The fourth proportional to 9,258.53, 13,871.62 and 7,708.49 is: 11,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.53 : 13,871.62 = 7,708.49 : x
  2. Step 2: Convert to fraction form
    9,258.53/13,871.62 = 7,708.49/x
  3. Step 3: Cross multiply
    9,258.53x = 13,871.62 × 7,708.49
  4. Step 4: Simplify right side
    9,258.53x = 106,929,244.05
  5. Step 5: Solve for x
    x = 106,929,244.05/9,258.53
  6. Step 6: Final answer
    x = 11,549.27

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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.