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Finding the Fourth Proportional to 8,580, 11,832.24 and 5,598.12

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Solution

The fourth proportional to 8,580, 11,832.24 and 5,598.12 is: 7,720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580 : 11,832.24 = 5,598.12 : x
  2. Step 2: Convert to fraction form
    8,580/11,832.24 = 5,598.12/x
  3. Step 3: Cross multiply
    8,580x = 11,832.24 × 5,598.12
  4. Step 4: Simplify right side
    8,580x = 66,238,299.39
  5. Step 5: Solve for x
    x = 66,238,299.39/8,580
  6. Step 6: Final answer
    x = 7,720.08

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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.