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Finding the Fourth Proportional to 6,962.13, 10,443.80 and 1,768

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Solution

The fourth proportional to 6,962.13, 10,443.80 and 1,768 is: 2,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.13 : 10,443.80 = 1,768 : x
  2. Step 2: Convert to fraction form
    6,962.13/10,443.80 = 1,768/x
  3. Step 3: Cross multiply
    6,962.13x = 10,443.80 × 1,768
  4. Step 4: Simplify right side
    6,962.13x = 18,464,638.40
  5. Step 5: Solve for x
    x = 18,464,638.40/6,962.13
  6. Step 6: Final answer
    x = 2,652.15

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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.