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Finding the Fourth Proportional to 7,048.56, 10,572.72 and 2,431.44

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Solution

The fourth proportional to 7,048.56, 10,572.72 and 2,431.44 is: 3,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.56 : 10,572.72 = 2,431.44 : x
  2. Step 2: Convert to fraction form
    7,048.56/10,572.72 = 2,431.44/x
  3. Step 3: Cross multiply
    7,048.56x = 10,572.72 × 2,431.44
  4. Step 4: Simplify right side
    7,048.56x = 25,706,934.32
  5. Step 5: Solve for x
    x = 25,706,934.32/7,048.56
  6. Step 6: Final answer
    x = 3,647.12

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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.