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Finding the Fourth Proportional to 5,253.35, 7,880.11 and 1,304.63

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Solution

The fourth proportional to 5,253.35, 7,880.11 and 1,304.63 is: 1,956.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.35 : 7,880.11 = 1,304.63 : x
  2. Step 2: Convert to fraction form
    5,253.35/7,880.11 = 1,304.63/x
  3. Step 3: Cross multiply
    5,253.35x = 7,880.11 × 1,304.63
  4. Step 4: Simplify right side
    5,253.35x = 10,280,627.91
  5. Step 5: Solve for x
    x = 10,280,627.91/5,253.35
  6. Step 6: Final answer
    x = 1,956.97

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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.