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Finding the Fourth Proportional to 7,075.92, 9,765.24 and 4,722

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Solution

The fourth proportional to 7,075.92, 9,765.24 and 4,722 is: 6,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.92 : 9,765.24 = 4,722 : x
  2. Step 2: Convert to fraction form
    7,075.92/9,765.24 = 4,722/x
  3. Step 3: Cross multiply
    7,075.92x = 9,765.24 × 4,722
  4. Step 4: Simplify right side
    7,075.92x = 46,111,463.28
  5. Step 5: Solve for x
    x = 46,111,463.28/7,075.92
  6. Step 6: Final answer
    x = 6,516.67

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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.