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Finding the Fourth Proportional to 9,752.49, 14,627.21 and 3,178.62

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Solution

The fourth proportional to 9,752.49, 14,627.21 and 3,178.62 is: 4,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.49 : 14,627.21 = 3,178.62 : x
  2. Step 2: Convert to fraction form
    9,752.49/14,627.21 = 3,178.62/x
  3. Step 3: Cross multiply
    9,752.49x = 14,627.21 × 3,178.62
  4. Step 4: Simplify right side
    9,752.49x = 46,494,326.36
  5. Step 5: Solve for x
    x = 46,494,326.36/9,752.49
  6. Step 6: Final answer
    x = 4,767.43

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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.