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Finding the Fourth Proportional to 6,946.14, 10,419.18 and 1,752

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Solution

The fourth proportional to 6,946.14, 10,419.18 and 1,752 is: 2,627.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.14 : 10,419.18 = 1,752 : x
  2. Step 2: Convert to fraction form
    6,946.14/10,419.18 = 1,752/x
  3. Step 3: Cross multiply
    6,946.14x = 10,419.18 × 1,752
  4. Step 4: Simplify right side
    6,946.14x = 18,254,403.36
  5. Step 5: Solve for x
    x = 18,254,403.36/6,946.14
  6. Step 6: Final answer
    x = 2,627.99

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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.