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Finding the Fourth Proportional to 6,064.81, 8,371.65 and 3,828.15

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Solution

The fourth proportional to 6,064.81, 8,371.65 and 3,828.15 is: 5,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.81 : 8,371.65 = 3,828.15 : x
  2. Step 2: Convert to fraction form
    6,064.81/8,371.65 = 3,828.15/x
  3. Step 3: Cross multiply
    6,064.81x = 8,371.65 × 3,828.15
  4. Step 4: Simplify right side
    6,064.81x = 32,047,931.95
  5. Step 5: Solve for x
    x = 32,047,931.95/6,064.81
  6. Step 6: Final answer
    x = 5,284.24

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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.