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Finding the Fourth Proportional to 7,075.98, 9,760.77 and 4,811.22

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Solution

The fourth proportional to 7,075.98, 9,760.77 and 4,811.22 is: 6,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.98 : 9,760.77 = 4,811.22 : x
  2. Step 2: Convert to fraction form
    7,075.98/9,760.77 = 4,811.22/x
  3. Step 3: Cross multiply
    7,075.98x = 9,760.77 × 4,811.22
  4. Step 4: Simplify right side
    7,075.98x = 46,961,211.84
  5. Step 5: Solve for x
    x = 46,961,211.84/7,075.98
  6. Step 6: Final answer
    x = 6,636.71

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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.