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Finding the Fourth Proportional to 9,295.70, 12,827.72 and 5,758.84

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Solution

The fourth proportional to 9,295.70, 12,827.72 and 5,758.84 is: 7,946.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.70 : 12,827.72 = 5,758.84 : x
  2. Step 2: Convert to fraction form
    9,295.70/12,827.72 = 5,758.84/x
  3. Step 3: Cross multiply
    9,295.70x = 12,827.72 × 5,758.84
  4. Step 4: Simplify right side
    9,295.70x = 73,872,694.11
  5. Step 5: Solve for x
    x = 73,872,694.11/9,295.70
  6. Step 6: Final answer
    x = 7,946.97

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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.