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Finding the Fourth Proportional to 7,433, 10,257.36 and 4,075.96

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Solution

The fourth proportional to 7,433, 10,257.36 and 4,075.96 is: 5,624.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,433 : 10,257.36 = 4,075.96 : x
  2. Step 2: Convert to fraction form
    7,433/10,257.36 = 4,075.96/x
  3. Step 3: Cross multiply
    7,433x = 10,257.36 × 4,075.96
  4. Step 4: Simplify right side
    7,433x = 41,808,589.07
  5. Step 5: Solve for x
    x = 41,808,589.07/7,433
  6. Step 6: Final answer
    x = 5,624.73

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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.