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Finding the Fourth Proportional to 35,698.86, 53,543.97 and 9,405.63

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Solution

The fourth proportional to 35,698.86, 53,543.97 and 9,405.63 is: 14,107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,698.86 : 53,543.97 = 9,405.63 : x
  2. Step 2: Convert to fraction form
    35,698.86/53,543.97 = 9,405.63/x
  3. Step 3: Cross multiply
    35,698.86x = 53,543.97 × 9,405.63
  4. Step 4: Simplify right side
    35,698.86x = 503,614,770.55
  5. Step 5: Solve for x
    x = 503,614,770.55/35,698.86
  6. Step 6: Final answer
    x = 14,107.31

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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.