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Finding the Fourth Proportional to 6,891.56, 9,514.74 and 4,537.76

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Solution

The fourth proportional to 6,891.56, 9,514.74 and 4,537.76 is: 6,265.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.56 : 9,514.74 = 4,537.76 : x
  2. Step 2: Convert to fraction form
    6,891.56/9,514.74 = 4,537.76/x
  3. Step 3: Cross multiply
    6,891.56x = 9,514.74 × 4,537.76
  4. Step 4: Simplify right side
    6,891.56x = 43,175,606.58
  5. Step 5: Solve for x
    x = 43,175,606.58/6,891.56
  6. Step 6: Final answer
    x = 6,265.00

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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.