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Finding the Fourth Proportional to 8,312.25, 11,470.92 and 4,586.25

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Solution

The fourth proportional to 8,312.25, 11,470.92 and 4,586.25 is: 6,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.25 : 11,470.92 = 4,586.25 : x
  2. Step 2: Convert to fraction form
    8,312.25/11,470.92 = 4,586.25/x
  3. Step 3: Cross multiply
    8,312.25x = 11,470.92 × 4,586.25
  4. Step 4: Simplify right side
    8,312.25x = 52,608,506.85
  5. Step 5: Solve for x
    x = 52,608,506.85/8,312.25
  6. Step 6: Final answer
    x = 6,329.03

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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.