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Finding the Fourth Proportional to 34,653.50, 51,972.28 and 9,695.31

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Solution

The fourth proportional to 34,653.50, 51,972.28 and 9,695.31 is: 14,540.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,653.50 : 51,972.28 = 9,695.31 : x
  2. Step 2: Convert to fraction form
    34,653.50/51,972.28 = 9,695.31/x
  3. Step 3: Cross multiply
    34,653.50x = 51,972.28 × 9,695.31
  4. Step 4: Simplify right side
    34,653.50x = 503,887,274.49
  5. Step 5: Solve for x
    x = 503,887,274.49/34,653.50
  6. Step 6: Final answer
    x = 14,540.73

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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.