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Finding the Fourth Proportional to 6,065.06, 8,372 and 3,828.40

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Solution

The fourth proportional to 6,065.06, 8,372 and 3,828.40 is: 5,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.06 : 8,372 = 3,828.40 : x
  2. Step 2: Convert to fraction form
    6,065.06/8,372 = 3,828.40/x
  3. Step 3: Cross multiply
    6,065.06x = 8,372 × 3,828.40
  4. Step 4: Simplify right side
    6,065.06x = 32,051,364.80
  5. Step 5: Solve for x
    x = 32,051,364.80/6,065.06
  6. Step 6: Final answer
    x = 5,284.59

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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.