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Finding the Fourth Proportional to 9,995.81, 14,982.77 and 6,299.78

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Solution

The fourth proportional to 9,995.81, 14,982.77 and 6,299.78 is: 9,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.81 : 14,982.77 = 6,299.78 : x
  2. Step 2: Convert to fraction form
    9,995.81/14,982.77 = 6,299.78/x
  3. Step 3: Cross multiply
    9,995.81x = 14,982.77 × 6,299.78
  4. Step 4: Simplify right side
    9,995.81x = 94,388,095.63
  5. Step 5: Solve for x
    x = 94,388,095.63/9,995.81
  6. Step 6: Final answer
    x = 9,442.77

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1.5x scale

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.