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Finding the Fourth Proportional to 13,075.66, 18,047.04 and 7,769.46

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Solution

The fourth proportional to 13,075.66, 18,047.04 and 7,769.46 is: 10,723.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075.66 : 18,047.04 = 7,769.46 : x
  2. Step 2: Convert to fraction form
    13,075.66/18,047.04 = 7,769.46/x
  3. Step 3: Cross multiply
    13,075.66x = 18,047.04 × 7,769.46
  4. Step 4: Simplify right side
    13,075.66x = 140,215,755.40
  5. Step 5: Solve for x
    x = 140,215,755.40/13,075.66
  6. Step 6: Final answer
    x = 10,723.42

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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.