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Finding the Fourth Proportional to 9,690.57, 13,357.44 and 7,297.02

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Solution

The fourth proportional to 9,690.57, 13,357.44 and 7,297.02 is: 10,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.57 : 13,357.44 = 7,297.02 : x
  2. Step 2: Convert to fraction form
    9,690.57/13,357.44 = 7,297.02/x
  3. Step 3: Cross multiply
    9,690.57x = 13,357.44 × 7,297.02
  4. Step 4: Simplify right side
    9,690.57x = 97,469,506.83
  5. Step 5: Solve for x
    x = 97,469,506.83/9,690.57
  6. Step 6: Final answer
    x = 10,058.18

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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.