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Finding the Fourth Proportional to 8,564.58, 11,824.65 and 5,382.27

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Solution

The fourth proportional to 8,564.58, 11,824.65 and 5,382.27 is: 7,431.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.58 : 11,824.65 = 5,382.27 : x
  2. Step 2: Convert to fraction form
    8,564.58/11,824.65 = 5,382.27/x
  3. Step 3: Cross multiply
    8,564.58x = 11,824.65 × 5,382.27
  4. Step 4: Simplify right side
    8,564.58x = 63,643,458.96
  5. Step 5: Solve for x
    x = 63,643,458.96/8,564.58
  6. Step 6: Final answer
    x = 7,431.01

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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.