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Finding the Fourth Proportional to 35,814.21, 53,717.22 and 9,520.98

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Solution

The fourth proportional to 35,814.21, 53,717.22 and 9,520.98 is: 14,280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,814.21 : 53,717.22 = 9,520.98 : x
  2. Step 2: Convert to fraction form
    35,814.21/53,717.22 = 9,520.98/x
  3. Step 3: Cross multiply
    35,814.21x = 53,717.22 × 9,520.98
  4. Step 4: Simplify right side
    35,814.21x = 511,440,577.28
  5. Step 5: Solve for x
    x = 511,440,577.28/35,814.21
  6. Step 6: Final answer
    x = 14,280.38

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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.