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Finding the Fourth Proportional to 14,362.28, 19,819.56 and 8,075.06

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Solution

The fourth proportional to 14,362.28, 19,819.56 and 8,075.06 is: 11,143.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362.28 : 19,819.56 = 8,075.06 : x
  2. Step 2: Convert to fraction form
    14,362.28/19,819.56 = 8,075.06/x
  3. Step 3: Cross multiply
    14,362.28x = 19,819.56 × 8,075.06
  4. Step 4: Simplify right side
    14,362.28x = 160,044,136.17
  5. Step 5: Solve for x
    x = 160,044,136.17/14,362.28
  6. Step 6: Final answer
    x = 11,143.37

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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.