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Finding the Fourth Proportional to 4,208.57, 6,312.86 and 4,202.49

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Solution

The fourth proportional to 4,208.57, 6,312.86 and 4,202.49 is: 6,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.57 : 6,312.86 = 4,202.49 : x
  2. Step 2: Convert to fraction form
    4,208.57/6,312.86 = 4,202.49/x
  3. Step 3: Cross multiply
    4,208.57x = 6,312.86 × 4,202.49
  4. Step 4: Simplify right side
    4,208.57x = 26,529,731.02
  5. Step 5: Solve for x
    x = 26,529,731.02/4,208.57
  6. Step 6: Final answer
    x = 6,303.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.