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Finding the Fourth Proportional to 5,946.12, 8,212.64 and 4,755.24

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Solution

The fourth proportional to 5,946.12, 8,212.64 and 4,755.24 is: 6,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.12 : 8,212.64 = 4,755.24 : x
  2. Step 2: Convert to fraction form
    5,946.12/8,212.64 = 4,755.24/x
  3. Step 3: Cross multiply
    5,946.12x = 8,212.64 × 4,755.24
  4. Step 4: Simplify right side
    5,946.12x = 39,053,050.46
  5. Step 5: Solve for x
    x = 39,053,050.46/5,946.12
  6. Step 6: Final answer
    x = 6,567.82

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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.