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Finding the Fourth Proportional to 6,970.36, 10,452.76 and 3,072

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Solution

The fourth proportional to 6,970.36, 10,452.76 and 3,072 is: 4,606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.36 : 10,452.76 = 3,072 : x
  2. Step 2: Convert to fraction form
    6,970.36/10,452.76 = 3,072/x
  3. Step 3: Cross multiply
    6,970.36x = 10,452.76 × 3,072
  4. Step 4: Simplify right side
    6,970.36x = 32,110,878.72
  5. Step 5: Solve for x
    x = 32,110,878.72/6,970.36
  6. Step 6: Final answer
    x = 4,606.77

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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.