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Finding the Fourth Proportional to 16,075.70, 22,180.88 and 9,703.34

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Solution

The fourth proportional to 16,075.70, 22,180.88 and 9,703.34 is: 13,388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.70 : 22,180.88 = 9,703.34 : x
  2. Step 2: Convert to fraction form
    16,075.70/22,180.88 = 9,703.34/x
  3. Step 3: Cross multiply
    16,075.70x = 22,180.88 × 9,703.34
  4. Step 4: Simplify right side
    16,075.70x = 215,228,620.14
  5. Step 5: Solve for x
    x = 215,228,620.14/16,075.70
  6. Step 6: Final answer
    x = 13,388.44

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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.