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Finding the Fourth Proportional to 6,946.47, 10,421.46 and 2,016

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Solution

The fourth proportional to 6,946.47, 10,421.46 and 2,016 is: 3,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.47 : 10,421.46 = 2,016 : x
  2. Step 2: Convert to fraction form
    6,946.47/10,421.46 = 2,016/x
  3. Step 3: Cross multiply
    6,946.47x = 10,421.46 × 2,016
  4. Step 4: Simplify right side
    6,946.47x = 21,009,663.36
  5. Step 5: Solve for x
    x = 21,009,663.36/6,946.47
  6. Step 6: Final answer
    x = 3,024.51

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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.