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Finding the Fourth Proportional to 9,752.73, 14,634.57 and 4,827.12

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Solution

The fourth proportional to 9,752.73, 14,634.57 and 4,827.12 is: 7,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.73 : 14,634.57 = 4,827.12 : x
  2. Step 2: Convert to fraction form
    9,752.73/14,634.57 = 4,827.12/x
  3. Step 3: Cross multiply
    9,752.73x = 14,634.57 × 4,827.12
  4. Step 4: Simplify right side
    9,752.73x = 70,642,825.54
  5. Step 5: Solve for x
    x = 70,642,825.54/9,752.73
  6. Step 6: Final answer
    x = 7,243.39

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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.