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Finding the Fourth Proportional to 6,946.65, 10,424.84 and 3,053.79

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Solution

The fourth proportional to 6,946.65, 10,424.84 and 3,053.79 is: 4,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.65 : 10,424.84 = 3,053.79 : x
  2. Step 2: Convert to fraction form
    6,946.65/10,424.84 = 3,053.79/x
  3. Step 3: Cross multiply
    6,946.65x = 10,424.84 × 3,053.79
  4. Step 4: Simplify right side
    6,946.65x = 31,835,256.87
  5. Step 5: Solve for x
    x = 31,835,256.87/6,946.65
  6. Step 6: Final answer
    x = 4,582.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.