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Finding the Fourth Proportional to 35,495.42, 53,239.01 and 9,198.09

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Solution

The fourth proportional to 35,495.42, 53,239.01 and 9,198.09 is: 13,796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,495.42 : 53,239.01 = 9,198.09 : x
  2. Step 2: Convert to fraction form
    35,495.42/53,239.01 = 9,198.09/x
  3. Step 3: Cross multiply
    35,495.42x = 53,239.01 × 9,198.09
  4. Step 4: Simplify right side
    35,495.42x = 489,697,159.50
  5. Step 5: Solve for x
    x = 489,697,159.50/35,495.42
  6. Step 6: Final answer
    x = 13,796.07

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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.