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Finding the Fourth Proportional to 9,813.44, 13,544.16 and 7,169.60

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Solution

The fourth proportional to 9,813.44, 13,544.16 and 7,169.60 is: 9,895.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.44 : 13,544.16 = 7,169.60 : x
  2. Step 2: Convert to fraction form
    9,813.44/13,544.16 = 7,169.60/x
  3. Step 3: Cross multiply
    9,813.44x = 13,544.16 × 7,169.60
  4. Step 4: Simplify right side
    9,813.44x = 97,106,209.54
  5. Step 5: Solve for x
    x = 97,106,209.54/9,813.44
  6. Step 6: Final answer
    x = 9,895.23

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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.