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Finding the Fourth Proportional to 36,970.42, 55,455.63 and 9,268.42

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Solution

The fourth proportional to 36,970.42, 55,455.63 and 9,268.42 is: 13,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,970.42 : 55,455.63 = 9,268.42 : x
  2. Step 2: Convert to fraction form
    36,970.42/55,455.63 = 9,268.42/x
  3. Step 3: Cross multiply
    36,970.42x = 55,455.63 × 9,268.42
  4. Step 4: Simplify right side
    36,970.42x = 513,986,070.20
  5. Step 5: Solve for x
    x = 513,986,070.20/36,970.42
  6. Step 6: Final answer
    x = 13,902.63

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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.