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Finding the Fourth Proportional to 6,135.50, 9,206.06 and 4,746.74

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Solution

The fourth proportional to 6,135.50, 9,206.06 and 4,746.74 is: 7,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.50 : 9,206.06 = 4,746.74 : x
  2. Step 2: Convert to fraction form
    6,135.50/9,206.06 = 4,746.74/x
  3. Step 3: Cross multiply
    6,135.50x = 9,206.06 × 4,746.74
  4. Step 4: Simplify right side
    6,135.50x = 43,698,773.24
  5. Step 5: Solve for x
    x = 43,698,773.24/6,135.50
  6. Step 6: Final answer
    x = 7,122.28

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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.