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Finding the Fourth Proportional to 17,446, 24,075.48 and 9,994.48

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Solution

The fourth proportional to 17,446, 24,075.48 and 9,994.48 is: 13,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,446 : 24,075.48 = 9,994.48 : x
  2. Step 2: Convert to fraction form
    17,446/24,075.48 = 9,994.48/x
  3. Step 3: Cross multiply
    17,446x = 24,075.48 × 9,994.48
  4. Step 4: Simplify right side
    17,446x = 240,621,903.35
  5. Step 5: Solve for x
    x = 240,621,903.35/17,446
  6. Step 6: Final answer
    x = 13,792.38

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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.