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Finding the Fourth Proportional to 6,871.84, 10,307.94 and 1,942

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Solution

The fourth proportional to 6,871.84, 10,307.94 and 1,942 is: 2,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.84 : 10,307.94 = 1,942 : x
  2. Step 2: Convert to fraction form
    6,871.84/10,307.94 = 1,942/x
  3. Step 3: Cross multiply
    6,871.84x = 10,307.94 × 1,942
  4. Step 4: Simplify right side
    6,871.84x = 20,018,019.48
  5. Step 5: Solve for x
    x = 20,018,019.48/6,871.84
  6. Step 6: Final answer
    x = 2,913.05

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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.