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Finding the Fourth Proportional to 6,228.06, 8,581.74 and 4,235.16

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Solution

The fourth proportional to 6,228.06, 8,581.74 and 4,235.16 is: 5,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.06 : 8,581.74 = 4,235.16 : x
  2. Step 2: Convert to fraction form
    6,228.06/8,581.74 = 4,235.16/x
  3. Step 3: Cross multiply
    6,228.06x = 8,581.74 × 4,235.16
  4. Step 4: Simplify right side
    6,228.06x = 36,345,041.98
  5. Step 5: Solve for x
    x = 36,345,041.98/6,228.06
  6. Step 6: Final answer
    x = 5,835.69

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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.