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Finding the Fourth Proportional to 6,970.50, 10,456.26 and 2,289.30

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Solution

The fourth proportional to 6,970.50, 10,456.26 and 2,289.30 is: 3,434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.50 : 10,456.26 = 2,289.30 : x
  2. Step 2: Convert to fraction form
    6,970.50/10,456.26 = 2,289.30/x
  3. Step 3: Cross multiply
    6,970.50x = 10,456.26 × 2,289.30
  4. Step 4: Simplify right side
    6,970.50x = 23,937,516.02
  5. Step 5: Solve for x
    x = 23,937,516.02/6,970.50
  6. Step 6: Final answer
    x = 3,434.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.