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Finding the Fourth Proportional to 6,095.52, 9,155.70 and 4,018.50

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Solution

The fourth proportional to 6,095.52, 9,155.70 and 4,018.50 is: 6,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.52 : 9,155.70 = 4,018.50 : x
  2. Step 2: Convert to fraction form
    6,095.52/9,155.70 = 4,018.50/x
  3. Step 3: Cross multiply
    6,095.52x = 9,155.70 × 4,018.50
  4. Step 4: Simplify right side
    6,095.52x = 36,792,180.45
  5. Step 5: Solve for x
    x = 36,792,180.45/6,095.52
  6. Step 6: Final answer
    x = 6,035.94

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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.