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Finding the Fourth Proportional to 14,075, 21,098.52 and 7,837.86

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Solution

The fourth proportional to 14,075, 21,098.52 and 7,837.86 is: 11,749.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075 : 21,098.52 = 7,837.86 : x
  2. Step 2: Convert to fraction form
    14,075/21,098.52 = 7,837.86/x
  3. Step 3: Cross multiply
    14,075x = 21,098.52 × 7,837.86
  4. Step 4: Simplify right side
    14,075x = 165,367,245.97
  5. Step 5: Solve for x
    x = 165,367,245.97/14,075
  6. Step 6: Final answer
    x = 11,749.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.