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Finding the Fourth Proportional to 6,970.80, 10,427.40 and 6,279.60

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Solution

The fourth proportional to 6,970.80, 10,427.40 and 6,279.60 is: 9,393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.80 : 10,427.40 = 6,279.60 : x
  2. Step 2: Convert to fraction form
    6,970.80/10,427.40 = 6,279.60/x
  3. Step 3: Cross multiply
    6,970.80x = 10,427.40 × 6,279.60
  4. Step 4: Simplify right side
    6,970.80x = 65,479,901.04
  5. Step 5: Solve for x
    x = 65,479,901.04/6,970.80
  6. Step 6: Final answer
    x = 9,393.46

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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.