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Finding the Fourth Proportional to 8,075.70, 11,144.70 and 4,539.24

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Solution

The fourth proportional to 8,075.70, 11,144.70 and 4,539.24 is: 6,264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.70 : 11,144.70 = 4,539.24 : x
  2. Step 2: Convert to fraction form
    8,075.70/11,144.70 = 4,539.24/x
  3. Step 3: Cross multiply
    8,075.70x = 11,144.70 × 4,539.24
  4. Step 4: Simplify right side
    8,075.70x = 50,588,468.03
  5. Step 5: Solve for x
    x = 50,588,468.03/8,075.70
  6. Step 6: Final answer
    x = 6,264.28

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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.