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Finding the Fourth Proportional to 9,873.60, 13,625.76 and 5,397.54

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Solution

The fourth proportional to 9,873.60, 13,625.76 and 5,397.54 is: 7,448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.60 : 13,625.76 = 5,397.54 : x
  2. Step 2: Convert to fraction form
    9,873.60/13,625.76 = 5,397.54/x
  3. Step 3: Cross multiply
    9,873.60x = 13,625.76 × 5,397.54
  4. Step 4: Simplify right side
    9,873.60x = 73,545,584.63
  5. Step 5: Solve for x
    x = 73,545,584.63/9,873.60
  6. Step 6: Final answer
    x = 7,448.71

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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.