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Finding the Fourth Proportional to 6,970.60, 10,452.54 and 4,049.74

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Solution

The fourth proportional to 6,970.60, 10,452.54 and 4,049.74 is: 6,072.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.60 : 10,452.54 = 4,049.74 : x
  2. Step 2: Convert to fraction form
    6,970.60/10,452.54 = 4,049.74/x
  3. Step 3: Cross multiply
    6,970.60x = 10,452.54 × 4,049.74
  4. Step 4: Simplify right side
    6,970.60x = 42,330,069.34
  5. Step 5: Solve for x
    x = 42,330,069.34/6,970.60
  6. Step 6: Final answer
    x = 6,072.66

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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.