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Finding the Fourth Proportional to 4,735.62, 6,536.94 and 4,069.80

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Solution

The fourth proportional to 4,735.62, 6,536.94 and 4,069.80 is: 5,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.62 : 6,536.94 = 4,069.80 : x
  2. Step 2: Convert to fraction form
    4,735.62/6,536.94 = 4,069.80/x
  3. Step 3: Cross multiply
    4,735.62x = 6,536.94 × 4,069.80
  4. Step 4: Simplify right side
    4,735.62x = 26,604,038.41
  5. Step 5: Solve for x
    x = 26,604,038.41/4,735.62
  6. Step 6: Final answer
    x = 5,617.86

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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.