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Finding the Fourth Proportional to 27,338.41, 40,983.01 and 9,804.14

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Solution

The fourth proportional to 27,338.41, 40,983.01 and 9,804.14 is: 14,697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,338.41 : 40,983.01 = 9,804.14 : x
  2. Step 2: Convert to fraction form
    27,338.41/40,983.01 = 9,804.14/x
  3. Step 3: Cross multiply
    27,338.41x = 40,983.01 × 9,804.14
  4. Step 4: Simplify right side
    27,338.41x = 401,803,147.07
  5. Step 5: Solve for x
    x = 401,803,147.07/27,338.41
  6. Step 6: Final answer
    x = 14,697.38

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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.