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Finding the Fourth Proportional to 9,527.28, 14,274.72 and 6,749.28

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Solution

The fourth proportional to 9,527.28, 14,274.72 and 6,749.28 is: 10,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.28 : 14,274.72 = 6,749.28 : x
  2. Step 2: Convert to fraction form
    9,527.28/14,274.72 = 6,749.28/x
  3. Step 3: Cross multiply
    9,527.28x = 14,274.72 × 6,749.28
  4. Step 4: Simplify right side
    9,527.28x = 96,344,082.20
  5. Step 5: Solve for x
    x = 96,344,082.20/9,527.28
  6. Step 6: Final answer
    x = 10,112.44

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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.