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Finding the Fourth Proportional to 13,652.97, 18,839.78 and 7,684.52

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Solution

The fourth proportional to 13,652.97, 18,839.78 and 7,684.52 is: 10,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652.97 : 18,839.78 = 7,684.52 : x
  2. Step 2: Convert to fraction form
    13,652.97/18,839.78 = 7,684.52/x
  3. Step 3: Cross multiply
    13,652.97x = 18,839.78 × 7,684.52
  4. Step 4: Simplify right side
    13,652.97x = 144,774,533.58
  5. Step 5: Solve for x
    x = 144,774,533.58/13,652.97
  6. Step 6: Final answer
    x = 10,603.89

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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.