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Finding the Fourth Proportional to 6,187.94, 8,535.07 and 3,828.68

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Solution

The fourth proportional to 6,187.94, 8,535.07 and 3,828.68 is: 5,280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.94 : 8,535.07 = 3,828.68 : x
  2. Step 2: Convert to fraction form
    6,187.94/8,535.07 = 3,828.68/x
  3. Step 3: Cross multiply
    6,187.94x = 8,535.07 × 3,828.68
  4. Step 4: Simplify right side
    6,187.94x = 32,678,051.81
  5. Step 5: Solve for x
    x = 32,678,051.81/6,187.94
  6. Step 6: Final answer
    x = 5,280.93

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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.