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Finding the Fourth Proportional to 9,893.84, 13,645.53 and 7,661.75

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Solution

The fourth proportional to 9,893.84, 13,645.53 and 7,661.75 is: 10,567.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.84 : 13,645.53 = 7,661.75 : x
  2. Step 2: Convert to fraction form
    9,893.84/13,645.53 = 7,661.75/x
  3. Step 3: Cross multiply
    9,893.84x = 13,645.53 × 7,661.75
  4. Step 4: Simplify right side
    9,893.84x = 104,548,571.25
  5. Step 5: Solve for x
    x = 104,548,571.25/9,893.84
  6. Step 6: Final answer
    x = 10,567.04

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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.