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Finding the Fourth Proportional to 5,048.64, 6,956.64 and 4,717.44

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Solution

The fourth proportional to 5,048.64, 6,956.64 and 4,717.44 is: 6,500.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.64 : 6,956.64 = 4,717.44 : x
  2. Step 2: Convert to fraction form
    5,048.64/6,956.64 = 4,717.44/x
  3. Step 3: Cross multiply
    5,048.64x = 6,956.64 × 4,717.44
  4. Step 4: Simplify right side
    5,048.64x = 32,817,531.80
  5. Step 5: Solve for x
    x = 32,817,531.80/5,048.64
  6. Step 6: Final answer
    x = 6,500.27

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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.