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Finding the Fourth Proportional to 6,306.72, 9,460.16 and 3,019.20

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Solution

The fourth proportional to 6,306.72, 9,460.16 and 3,019.20 is: 4,528.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.72 : 9,460.16 = 3,019.20 : x
  2. Step 2: Convert to fraction form
    6,306.72/9,460.16 = 3,019.20/x
  3. Step 3: Cross multiply
    6,306.72x = 9,460.16 × 3,019.20
  4. Step 4: Simplify right side
    6,306.72x = 28,562,115.07
  5. Step 5: Solve for x
    x = 28,562,115.07/6,306.72
  6. Step 6: Final answer
    x = 4,528.84

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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.