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Finding the Fourth Proportional to 6,969.34, 9,604.40 and 6,841.24

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Solution

The fourth proportional to 6,969.34, 9,604.40 and 6,841.24 is: 9,427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.34 : 9,604.40 = 6,841.24 : x
  2. Step 2: Convert to fraction form
    6,969.34/9,604.40 = 6,841.24/x
  3. Step 3: Cross multiply
    6,969.34x = 9,604.40 × 6,841.24
  4. Step 4: Simplify right side
    6,969.34x = 65,705,947.24
  5. Step 5: Solve for x
    x = 65,705,947.24/6,969.34
  6. Step 6: Final answer
    x = 9,427.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.