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Finding the Fourth Proportional to 35,704.94, 53,560.04 and 9,409.50

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Solution

The fourth proportional to 35,704.94, 53,560.04 and 9,409.50 is: 14,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.94 : 53,560.04 = 9,409.50 : x
  2. Step 2: Convert to fraction form
    35,704.94/53,560.04 = 9,409.50/x
  3. Step 3: Cross multiply
    35,704.94x = 53,560.04 × 9,409.50
  4. Step 4: Simplify right side
    35,704.94x = 503,973,149.33
  5. Step 5: Solve for x
    x = 503,973,149.33/35,704.94
  6. Step 6: Final answer
    x = 14,114.94

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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.