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Finding the Fourth Proportional to 7,075.88, 9,765.29 and 4,563.22

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Solution

The fourth proportional to 7,075.88, 9,765.29 and 4,563.22 is: 6,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.88 : 9,765.29 = 4,563.22 : x
  2. Step 2: Convert to fraction form
    7,075.88/9,765.29 = 4,563.22/x
  3. Step 3: Cross multiply
    7,075.88x = 9,765.29 × 4,563.22
  4. Step 4: Simplify right side
    7,075.88x = 44,561,166.63
  5. Step 5: Solve for x
    x = 44,561,166.63/7,075.88
  6. Step 6: Final answer
    x = 6,297.61

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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.