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Finding the Fourth Proportional to 7,235.28, 9,982.04 and 4,401.50

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Solution

The fourth proportional to 7,235.28, 9,982.04 and 4,401.50 is: 6,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.28 : 9,982.04 = 4,401.50 : x
  2. Step 2: Convert to fraction form
    7,235.28/9,982.04 = 4,401.50/x
  3. Step 3: Cross multiply
    7,235.28x = 9,982.04 × 4,401.50
  4. Step 4: Simplify right side
    7,235.28x = 43,935,877.14
  5. Step 5: Solve for x
    x = 43,935,877.14/7,235.28
  6. Step 6: Final answer
    x = 6,072.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.