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Finding the Fourth Proportional to 6,065.58, 8,370.78 and 3,827.16

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Solution

The fourth proportional to 6,065.58, 8,370.78 and 3,827.16 is: 5,281.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.58 : 8,370.78 = 3,827.16 : x
  2. Step 2: Convert to fraction form
    6,065.58/8,370.78 = 3,827.16/x
  3. Step 3: Cross multiply
    6,065.58x = 8,370.78 × 3,827.16
  4. Step 4: Simplify right side
    6,065.58x = 32,036,314.38
  5. Step 5: Solve for x
    x = 32,036,314.38/6,065.58
  6. Step 6: Final answer
    x = 5,281.66

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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.