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Finding the Fourth Proportional to 6,356.86, 8,771.92 and 3,704.51

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Solution

The fourth proportional to 6,356.86, 8,771.92 and 3,704.51 is: 5,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.86 : 8,771.92 = 3,704.51 : x
  2. Step 2: Convert to fraction form
    6,356.86/8,771.92 = 3,704.51/x
  3. Step 3: Cross multiply
    6,356.86x = 8,771.92 × 3,704.51
  4. Step 4: Simplify right side
    6,356.86x = 32,495,678.03
  5. Step 5: Solve for x
    x = 32,495,678.03/6,356.86
  6. Step 6: Final answer
    x = 5,111.91

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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.