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Finding the Fourth Proportional to 8,570.55, 11,828.24 and 5,213.60

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Solution

The fourth proportional to 8,570.55, 11,828.24 and 5,213.60 is: 7,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.55 : 11,828.24 = 5,213.60 : x
  2. Step 2: Convert to fraction form
    8,570.55/11,828.24 = 5,213.60/x
  3. Step 3: Cross multiply
    8,570.55x = 11,828.24 × 5,213.60
  4. Step 4: Simplify right side
    8,570.55x = 61,667,712.06
  5. Step 5: Solve for x
    x = 61,667,712.06/8,570.55
  6. Step 6: Final answer
    x = 7,195.30

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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.