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Finding the Fourth Proportional to 9,773.76, 14,663.75 and 3,198.45

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Solution

The fourth proportional to 9,773.76, 14,663.75 and 3,198.45 is: 4,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.76 : 14,663.75 = 3,198.45 : x
  2. Step 2: Convert to fraction form
    9,773.76/14,663.75 = 3,198.45/x
  3. Step 3: Cross multiply
    9,773.76x = 14,663.75 × 3,198.45
  4. Step 4: Simplify right side
    9,773.76x = 46,901,255.20
  5. Step 5: Solve for x
    x = 46,901,255.20/9,773.76
  6. Step 6: Final answer
    x = 4,798.69

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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.