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Finding the Fourth Proportional to 9,728.52, 14,593.28 and 4,735.49

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Solution

The fourth proportional to 9,728.52, 14,593.28 and 4,735.49 is: 7,103.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.52 : 14,593.28 = 4,735.49 : x
  2. Step 2: Convert to fraction form
    9,728.52/14,593.28 = 4,735.49/x
  3. Step 3: Cross multiply
    9,728.52x = 14,593.28 × 4,735.49
  4. Step 4: Simplify right side
    9,728.52x = 69,106,331.51
  5. Step 5: Solve for x
    x = 69,106,331.51/9,728.52
  6. Step 6: Final answer
    x = 7,103.48

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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.