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Finding the Fourth Proportional to 6,714.75, 9,275.07 and 5,111.66

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Solution

The fourth proportional to 6,714.75, 9,275.07 and 5,111.66 is: 7,060.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.75 : 9,275.07 = 5,111.66 : x
  2. Step 2: Convert to fraction form
    6,714.75/9,275.07 = 5,111.66/x
  3. Step 3: Cross multiply
    6,714.75x = 9,275.07 × 5,111.66
  4. Step 4: Simplify right side
    6,714.75x = 47,410,957.94
  5. Step 5: Solve for x
    x = 47,410,957.94/6,714.75
  6. Step 6: Final answer
    x = 7,060.72

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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.