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Finding the Fourth Proportional to 35,509.38, 53,266.08 and 9,213.42

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Solution

The fourth proportional to 35,509.38, 53,266.08 and 9,213.42 is: 13,820.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,509.38 : 53,266.08 = 9,213.42 : x
  2. Step 2: Convert to fraction form
    35,509.38/53,266.08 = 9,213.42/x
  3. Step 3: Cross multiply
    35,509.38x = 53,266.08 × 9,213.42
  4. Step 4: Simplify right side
    35,509.38x = 490,762,766.79
  5. Step 5: Solve for x
    x = 490,762,766.79/35,509.38
  6. Step 6: Final answer
    x = 13,820.65

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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.