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Finding the Fourth Proportional to 23,364, 35,046.24 and 6,948

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Solution

The fourth proportional to 23,364, 35,046.24 and 6,948 is: 10,422.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,364 : 35,046.24 = 6,948 : x
  2. Step 2: Convert to fraction form
    23,364/35,046.24 = 6,948/x
  3. Step 3: Cross multiply
    23,364x = 35,046.24 × 6,948
  4. Step 4: Simplify right side
    23,364x = 243,501,275.52
  5. Step 5: Solve for x
    x = 243,501,275.52/23,364
  6. Step 6: Final answer
    x = 10,422.07

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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.