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Finding the Fourth Proportional to 35,770.72, 53,653.56 and 9,474.88

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Solution

The fourth proportional to 35,770.72, 53,653.56 and 9,474.88 is: 14,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,770.72 : 53,653.56 = 9,474.88 : x
  2. Step 2: Convert to fraction form
    35,770.72/53,653.56 = 9,474.88/x
  3. Step 3: Cross multiply
    35,770.72x = 53,653.56 × 9,474.88
  4. Step 4: Simplify right side
    35,770.72x = 508,361,042.57
  5. Step 5: Solve for x
    x = 508,361,042.57/35,770.72
  6. Step 6: Final answer
    x = 14,211.65

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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.