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Finding the Fourth Proportional to 6,314.86, 8,712.75 and 3,661.74

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Solution

The fourth proportional to 6,314.86, 8,712.75 and 3,661.74 is: 5,052.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.86 : 8,712.75 = 3,661.74 : x
  2. Step 2: Convert to fraction form
    6,314.86/8,712.75 = 3,661.74/x
  3. Step 3: Cross multiply
    6,314.86x = 8,712.75 × 3,661.74
  4. Step 4: Simplify right side
    6,314.86x = 31,903,825.19
  5. Step 5: Solve for x
    x = 31,903,825.19/6,314.86
  6. Step 6: Final answer
    x = 5,052.18

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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.