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Finding the Fourth Proportional to 23,369, 35,053.74 and 6,953

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Solution

The fourth proportional to 23,369, 35,053.74 and 6,953 is: 10,429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,369 : 35,053.74 = 6,953 : x
  2. Step 2: Convert to fraction form
    23,369/35,053.74 = 6,953/x
  3. Step 3: Cross multiply
    23,369x = 35,053.74 × 6,953
  4. Step 4: Simplify right side
    23,369x = 243,728,654.22
  5. Step 5: Solve for x
    x = 243,728,654.22/23,369
  6. Step 6: Final answer
    x = 10,429.57

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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.