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Finding the Fourth Proportional to 6,129.47, 8,459.44 and 3,477.74

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Solution

The fourth proportional to 6,129.47, 8,459.44 and 3,477.74 is: 4,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.47 : 8,459.44 = 3,477.74 : x
  2. Step 2: Convert to fraction form
    6,129.47/8,459.44 = 3,477.74/x
  3. Step 3: Cross multiply
    6,129.47x = 8,459.44 × 3,477.74
  4. Step 4: Simplify right side
    6,129.47x = 29,419,681.87
  5. Step 5: Solve for x
    x = 29,419,681.87/6,129.47
  6. Step 6: Final answer
    x = 4,799.71

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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.