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Finding the Fourth Proportional to 13,797.68, 20,696.58 and 5,032.58

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Solution

The fourth proportional to 13,797.68, 20,696.58 and 5,032.58 is: 7,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.68 : 20,696.58 = 5,032.58 : x
  2. Step 2: Convert to fraction form
    13,797.68/20,696.58 = 5,032.58/x
  3. Step 3: Cross multiply
    13,797.68x = 20,696.58 × 5,032.58
  4. Step 4: Simplify right side
    13,797.68x = 104,157,091.09
  5. Step 5: Solve for x
    x = 104,157,091.09/13,797.68
  6. Step 6: Final answer
    x = 7,548.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.