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Finding the Fourth Proportional to 6,970.90, 10,456.37 and 4,900.17

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Solution

The fourth proportional to 6,970.90, 10,456.37 and 4,900.17 is: 7,350.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.90 : 10,456.37 = 4,900.17 : x
  2. Step 2: Convert to fraction form
    6,970.90/10,456.37 = 4,900.17/x
  3. Step 3: Cross multiply
    6,970.90x = 10,456.37 × 4,900.17
  4. Step 4: Simplify right side
    6,970.90x = 51,237,966.08
  5. Step 5: Solve for x
    x = 51,237,966.08/6,970.90
  6. Step 6: Final answer
    x = 7,350.27

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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.