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Finding the Fourth Proportional to 11,653.37, 17,465.46 and 9,178.41

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Solution

The fourth proportional to 11,653.37, 17,465.46 and 9,178.41 is: 13,756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.37 : 17,465.46 = 9,178.41 : x
  2. Step 2: Convert to fraction form
    11,653.37/17,465.46 = 9,178.41/x
  3. Step 3: Cross multiply
    11,653.37x = 17,465.46 × 9,178.41
  4. Step 4: Simplify right side
    11,653.37x = 160,305,152.72
  5. Step 5: Solve for x
    x = 160,305,152.72/11,653.37
  6. Step 6: Final answer
    x = 13,756.13

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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.