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Finding the Fourth Proportional to 6,152.51, 9,227.50 and 1,768.99

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Solution

The fourth proportional to 6,152.51, 9,227.50 and 1,768.99 is: 2,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.51 : 9,227.50 = 1,768.99 : x
  2. Step 2: Convert to fraction form
    6,152.51/9,227.50 = 1,768.99/x
  3. Step 3: Cross multiply
    6,152.51x = 9,227.50 × 1,768.99
  4. Step 4: Simplify right side
    6,152.51x = 16,323,355.23
  5. Step 5: Solve for x
    x = 16,323,355.23/6,152.51
  6. Step 6: Final answer
    x = 2,653.12

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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.