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Finding the Fourth Proportional to 35,477.84, 53,219.75 and 9,183.08

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Solution

The fourth proportional to 35,477.84, 53,219.75 and 9,183.08 is: 13,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,477.84 : 53,219.75 = 9,183.08 : x
  2. Step 2: Convert to fraction form
    35,477.84/53,219.75 = 9,183.08/x
  3. Step 3: Cross multiply
    35,477.84x = 53,219.75 × 9,183.08
  4. Step 4: Simplify right side
    35,477.84x = 488,720,909.82
  5. Step 5: Solve for x
    x = 488,720,909.82/35,477.84
  6. Step 6: Final answer
    x = 13,775.39

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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.