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Finding the Fourth Proportional to 6,714.56, 10,071.76 and 4,866.56

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Solution

The fourth proportional to 6,714.56, 10,071.76 and 4,866.56 is: 7,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.56 : 10,071.76 = 4,866.56 : x
  2. Step 2: Convert to fraction form
    6,714.56/10,071.76 = 4,866.56/x
  3. Step 3: Cross multiply
    6,714.56x = 10,071.76 × 4,866.56
  4. Step 4: Simplify right side
    6,714.56x = 49,014,824.35
  5. Step 5: Solve for x
    x = 49,014,824.35/6,714.56
  6. Step 6: Final answer
    x = 7,299.78

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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.