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Finding the Fourth Proportional to 9,276.24, 12,813.48 and 6,914.28

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Solution

The fourth proportional to 9,276.24, 12,813.48 and 6,914.28 is: 9,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276.24 : 12,813.48 = 6,914.28 : x
  2. Step 2: Convert to fraction form
    9,276.24/12,813.48 = 6,914.28/x
  3. Step 3: Cross multiply
    9,276.24x = 12,813.48 × 6,914.28
  4. Step 4: Simplify right side
    9,276.24x = 88,595,988.49
  5. Step 5: Solve for x
    x = 88,595,988.49/9,276.24
  6. Step 6: Final answer
    x = 9,550.85

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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.