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Finding the Fourth Proportional to 9,949.82, 14,924.72 and 3,024.32

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Solution

The fourth proportional to 9,949.82, 14,924.72 and 3,024.32 is: 4,536.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949.82 : 14,924.72 = 3,024.32 : x
  2. Step 2: Convert to fraction form
    9,949.82/14,924.72 = 3,024.32/x
  3. Step 3: Cross multiply
    9,949.82x = 14,924.72 × 3,024.32
  4. Step 4: Simplify right side
    9,949.82x = 45,137,129.19
  5. Step 5: Solve for x
    x = 45,137,129.19/9,949.82
  6. Step 6: Final answer
    x = 4,536.48

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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.