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Finding the Fourth Proportional to 4,956.48, 6,824.40 and 4,208.88

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Solution

The fourth proportional to 4,956.48, 6,824.40 and 4,208.88 is: 5,795.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.48 : 6,824.40 = 4,208.88 : x
  2. Step 2: Convert to fraction form
    4,956.48/6,824.40 = 4,208.88/x
  3. Step 3: Cross multiply
    4,956.48x = 6,824.40 × 4,208.88
  4. Step 4: Simplify right side
    4,956.48x = 28,723,080.67
  5. Step 5: Solve for x
    x = 28,723,080.67/4,956.48
  6. Step 6: Final answer
    x = 5,795.06

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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.