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Finding the Fourth Proportional to 9,752.57, 13,454.21 and 6,214.49

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Solution

The fourth proportional to 9,752.57, 13,454.21 and 6,214.49 is: 8,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.57 : 13,454.21 = 6,214.49 : x
  2. Step 2: Convert to fraction form
    9,752.57/13,454.21 = 6,214.49/x
  3. Step 3: Cross multiply
    9,752.57x = 13,454.21 × 6,214.49
  4. Step 4: Simplify right side
    9,752.57x = 83,611,022.43
  5. Step 5: Solve for x
    x = 83,611,022.43/9,752.57
  6. Step 6: Final answer
    x = 8,573.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.