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Finding the Fourth Proportional to 6,470.86, 8,920.38 and 4,576.54

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Solution

The fourth proportional to 6,470.86, 8,920.38 and 4,576.54 is: 6,308.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.86 : 8,920.38 = 4,576.54 : x
  2. Step 2: Convert to fraction form
    6,470.86/8,920.38 = 4,576.54/x
  3. Step 3: Cross multiply
    6,470.86x = 8,920.38 × 4,576.54
  4. Step 4: Simplify right side
    6,470.86x = 40,824,475.89
  5. Step 5: Solve for x
    x = 40,824,475.89/6,470.86
  6. Step 6: Final answer
    x = 6,308.97

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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.