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Finding the Fourth Proportional to 8,602.56, 11,865.96 and 5,952.24

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Solution

The fourth proportional to 8,602.56, 11,865.96 and 5,952.24 is: 8,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.56 : 11,865.96 = 5,952.24 : x
  2. Step 2: Convert to fraction form
    8,602.56/11,865.96 = 5,952.24/x
  3. Step 3: Cross multiply
    8,602.56x = 11,865.96 × 5,952.24
  4. Step 4: Simplify right side
    8,602.56x = 70,629,041.75
  5. Step 5: Solve for x
    x = 70,629,041.75/8,602.56
  6. Step 6: Final answer
    x = 8,210.24

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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.