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Finding the Fourth Proportional to 6,970.34, 10,455.12 and 5,098.15

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Solution

The fourth proportional to 6,970.34, 10,455.12 and 5,098.15 is: 7,646.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.34 : 10,455.12 = 5,098.15 : x
  2. Step 2: Convert to fraction form
    6,970.34/10,455.12 = 5,098.15/x
  3. Step 3: Cross multiply
    6,970.34x = 10,455.12 × 5,098.15
  4. Step 4: Simplify right side
    6,970.34x = 53,301,770.03
  5. Step 5: Solve for x
    x = 53,301,770.03/6,970.34
  6. Step 6: Final answer
    x = 7,646.94

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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.