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Finding the Fourth Proportional to 5,678.88, 8,506.77 and 4,202.50

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Solution

The fourth proportional to 5,678.88, 8,506.77 and 4,202.50 is: 6,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.88 : 8,506.77 = 4,202.50 : x
  2. Step 2: Convert to fraction form
    5,678.88/8,506.77 = 4,202.50/x
  3. Step 3: Cross multiply
    5,678.88x = 8,506.77 × 4,202.50
  4. Step 4: Simplify right side
    5,678.88x = 35,749,703.49
  5. Step 5: Solve for x
    x = 35,749,703.49/5,678.88
  6. Step 6: Final answer
    x = 6,295.21

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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.