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Finding the Fourth Proportional to 9,850.81, 14,767.81 and 4,300

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Solution

The fourth proportional to 9,850.81, 14,767.81 and 4,300 is: 6,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.81 : 14,767.81 = 4,300 : x
  2. Step 2: Convert to fraction form
    9,850.81/14,767.81 = 4,300/x
  3. Step 3: Cross multiply
    9,850.81x = 14,767.81 × 4,300
  4. Step 4: Simplify right side
    9,850.81x = 63,501,583
  5. Step 5: Solve for x
    x = 63,501,583/9,850.81
  6. Step 6: Final answer
    x = 6,446.33

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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.