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Finding the Fourth Proportional to 9,752.88, 14,631.62 and 3,179.06

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Solution

The fourth proportional to 9,752.88, 14,631.62 and 3,179.06 is: 4,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.88 : 14,631.62 = 3,179.06 : x
  2. Step 2: Convert to fraction form
    9,752.88/14,631.62 = 3,179.06/x
  3. Step 3: Cross multiply
    9,752.88x = 14,631.62 × 3,179.06
  4. Step 4: Simplify right side
    9,752.88x = 46,514,708.82
  5. Step 5: Solve for x
    x = 46,514,708.82/9,752.88
  6. Step 6: Final answer
    x = 4,769.33

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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.