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Finding the Fourth Proportional to 6,514.76, 9,755.58 and 4,752.56

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Solution

The fourth proportional to 6,514.76, 9,755.58 and 4,752.56 is: 7,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.76 : 9,755.58 = 4,752.56 : x
  2. Step 2: Convert to fraction form
    6,514.76/9,755.58 = 4,752.56/x
  3. Step 3: Cross multiply
    6,514.76x = 9,755.58 × 4,752.56
  4. Step 4: Simplify right side
    6,514.76x = 46,363,979.28
  5. Step 5: Solve for x
    x = 46,363,979.28/6,514.76
  6. Step 6: Final answer
    x = 7,116.76

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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.