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Finding the Fourth Proportional to 9,825.71, 13,555.55 and 5,845.37

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Solution

The fourth proportional to 9,825.71, 13,555.55 and 5,845.37 is: 8,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.71 : 13,555.55 = 5,845.37 : x
  2. Step 2: Convert to fraction form
    9,825.71/13,555.55 = 5,845.37/x
  3. Step 3: Cross multiply
    9,825.71x = 13,555.55 × 5,845.37
  4. Step 4: Simplify right side
    9,825.71x = 79,237,152.14
  5. Step 5: Solve for x
    x = 79,237,152.14/9,825.71
  6. Step 6: Final answer
    x = 8,064.27

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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.