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Finding the Fourth Proportional to 19,075, 26,323.50 and 10,691.56

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Solution

The fourth proportional to 19,075, 26,323.50 and 10,691.56 is: 14,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,075 : 26,323.50 = 10,691.56 : x
  2. Step 2: Convert to fraction form
    19,075/26,323.50 = 10,691.56/x
  3. Step 3: Cross multiply
    19,075x = 26,323.50 × 10,691.56
  4. Step 4: Simplify right side
    19,075x = 281,439,279.66
  5. Step 5: Solve for x
    x = 281,439,279.66/19,075
  6. Step 6: Final answer
    x = 14,754.35

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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.