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Finding the Fourth Proportional to 11,653, 17,477.06 and 3,756.23

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Solution

The fourth proportional to 11,653, 17,477.06 and 3,756.23 is: 5,633.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653 : 17,477.06 = 3,756.23 : x
  2. Step 2: Convert to fraction form
    11,653/17,477.06 = 3,756.23/x
  3. Step 3: Cross multiply
    11,653x = 17,477.06 × 3,756.23
  4. Step 4: Simplify right side
    11,653x = 65,647,857.08
  5. Step 5: Solve for x
    x = 65,647,857.08/11,653
  6. Step 6: Final answer
    x = 5,633.56

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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.