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Finding the Fourth Proportional to 7,897.74, 11,845.08 and 4,617.24

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Solution

The fourth proportional to 7,897.74, 11,845.08 and 4,617.24 is: 6,924.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.74 : 11,845.08 = 4,617.24 : x
  2. Step 2: Convert to fraction form
    7,897.74/11,845.08 = 4,617.24/x
  3. Step 3: Cross multiply
    7,897.74x = 11,845.08 × 4,617.24
  4. Step 4: Simplify right side
    7,897.74x = 54,691,577.18
  5. Step 5: Solve for x
    x = 54,691,577.18/7,897.74
  6. Step 6: Final answer
    x = 6,924.97

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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.