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Finding the Fourth Proportional to 11,653.56, 17,468.78 and 4,629.47

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Solution

The fourth proportional to 11,653.56, 17,468.78 and 4,629.47 is: 6,939.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.56 : 17,468.78 = 4,629.47 : x
  2. Step 2: Convert to fraction form
    11,653.56/17,468.78 = 4,629.47/x
  3. Step 3: Cross multiply
    11,653.56x = 17,468.78 × 4,629.47
  4. Step 4: Simplify right side
    11,653.56x = 80,871,082.46
  5. Step 5: Solve for x
    x = 80,871,082.46/11,653.56
  6. Step 6: Final answer
    x = 6,939.60

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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.