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Finding the Fourth Proportional to 27,267.28, 40,901.28 and 9,738.16

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Solution

The fourth proportional to 27,267.28, 40,901.28 and 9,738.16 is: 14,607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,267.28 : 40,901.28 = 9,738.16 : x
  2. Step 2: Convert to fraction form
    27,267.28/40,901.28 = 9,738.16/x
  3. Step 3: Cross multiply
    27,267.28x = 40,901.28 × 9,738.16
  4. Step 4: Simplify right side
    27,267.28x = 398,303,208.84
  5. Step 5: Solve for x
    x = 398,303,208.84/27,267.28
  6. Step 6: Final answer
    x = 14,607.37

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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.