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Finding the Fourth Proportional to 6,147.96, 8,484.42 and 3,495.61

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Solution

The fourth proportional to 6,147.96, 8,484.42 and 3,495.61 is: 4,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.96 : 8,484.42 = 3,495.61 : x
  2. Step 2: Convert to fraction form
    6,147.96/8,484.42 = 3,495.61/x
  3. Step 3: Cross multiply
    6,147.96x = 8,484.42 × 3,495.61
  4. Step 4: Simplify right side
    6,147.96x = 29,658,223.40
  5. Step 5: Solve for x
    x = 29,658,223.40/6,147.96
  6. Step 6: Final answer
    x = 4,824.08

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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.