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Finding the Fourth Proportional to 9,760.34, 14,622.14 and 4,824.20

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Solution

The fourth proportional to 9,760.34, 14,622.14 and 4,824.20 is: 7,227.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.34 : 14,622.14 = 4,824.20 : x
  2. Step 2: Convert to fraction form
    9,760.34/14,622.14 = 4,824.20/x
  3. Step 3: Cross multiply
    9,760.34x = 14,622.14 × 4,824.20
  4. Step 4: Simplify right side
    9,760.34x = 70,540,127.79
  5. Step 5: Solve for x
    x = 70,540,127.79/9,760.34
  6. Step 6: Final answer
    x = 7,227.22

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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.