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Finding the Fourth Proportional to 9,292.94, 12,815.69 and 6,313.22

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Solution

The fourth proportional to 9,292.94, 12,815.69 and 6,313.22 is: 8,706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.94 : 12,815.69 = 6,313.22 : x
  2. Step 2: Convert to fraction form
    9,292.94/12,815.69 = 6,313.22/x
  3. Step 3: Cross multiply
    9,292.94x = 12,815.69 × 6,313.22
  4. Step 4: Simplify right side
    9,292.94x = 80,908,318.24
  5. Step 5: Solve for x
    x = 80,908,318.24/9,292.94
  6. Step 6: Final answer
    x = 8,706.43

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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.