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Finding the Fourth Proportional to 9,743.04, 14,605.92 and 7,274.88

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Solution

The fourth proportional to 9,743.04, 14,605.92 and 7,274.88 is: 10,905.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.04 : 14,605.92 = 7,274.88 : x
  2. Step 2: Convert to fraction form
    9,743.04/14,605.92 = 7,274.88/x
  3. Step 3: Cross multiply
    9,743.04x = 14,605.92 × 7,274.88
  4. Step 4: Simplify right side
    9,743.04x = 106,256,315.29
  5. Step 5: Solve for x
    x = 106,256,315.29/9,743.04
  6. Step 6: Final answer
    x = 10,905.87

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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.