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Finding the Fourth Proportional to 14,075.63, 21,094.98 and 7,832.42

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Solution

The fourth proportional to 14,075.63, 21,094.98 and 7,832.42 is: 11,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075.63 : 21,094.98 = 7,832.42 : x
  2. Step 2: Convert to fraction form
    14,075.63/21,094.98 = 7,832.42/x
  3. Step 3: Cross multiply
    14,075.63x = 21,094.98 × 7,832.42
  4. Step 4: Simplify right side
    14,075.63x = 165,224,743.25
  5. Step 5: Solve for x
    x = 165,224,743.25/14,075.63
  6. Step 6: Final answer
    x = 11,738.36

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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.