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Finding the Fourth Proportional to 9,304.95, 12,840.16 and 5,270.62

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Solution

The fourth proportional to 9,304.95, 12,840.16 and 5,270.62 is: 7,273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.95 : 12,840.16 = 5,270.62 : x
  2. Step 2: Convert to fraction form
    9,304.95/12,840.16 = 5,270.62/x
  3. Step 3: Cross multiply
    9,304.95x = 12,840.16 × 5,270.62
  4. Step 4: Simplify right side
    9,304.95x = 67,675,604.10
  5. Step 5: Solve for x
    x = 67,675,604.10/9,304.95
  6. Step 6: Final answer
    x = 7,273.08

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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.