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Finding the Fourth Proportional to 9,304.96, 12,840.10 and 5,325.16

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Solution

The fourth proportional to 9,304.96, 12,840.10 and 5,325.16 is: 7,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.96 : 12,840.10 = 5,325.16 : x
  2. Step 2: Convert to fraction form
    9,304.96/12,840.10 = 5,325.16/x
  3. Step 3: Cross multiply
    9,304.96x = 12,840.10 × 5,325.16
  4. Step 4: Simplify right side
    9,304.96x = 68,375,586.92
  5. Step 5: Solve for x
    x = 68,375,586.92/9,304.96
  6. Step 6: Final answer
    x = 7,348.29

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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.