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Finding the Fourth Proportional to 17,646, 24,354.48 and 10,198.32

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Solution

The fourth proportional to 17,646, 24,354.48 and 10,198.32 is: 14,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646 : 24,354.48 = 10,198.32 : x
  2. Step 2: Convert to fraction form
    17,646/24,354.48 = 10,198.32/x
  3. Step 3: Cross multiply
    17,646x = 24,354.48 × 10,198.32
  4. Step 4: Simplify right side
    17,646x = 248,374,780.47
  5. Step 5: Solve for x
    x = 248,374,780.47/17,646
  6. Step 6: Final answer
    x = 14,075.42

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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.