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Finding the Fourth Proportional to 6,558.86, 9,782.92 and 5,573.90

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Solution

The fourth proportional to 6,558.86, 9,782.92 and 5,573.90 is: 8,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.86 : 9,782.92 = 5,573.90 : x
  2. Step 2: Convert to fraction form
    6,558.86/9,782.92 = 5,573.90/x
  3. Step 3: Cross multiply
    6,558.86x = 9,782.92 × 5,573.90
  4. Step 4: Simplify right side
    6,558.86x = 54,529,017.79
  5. Step 5: Solve for x
    x = 54,529,017.79/6,558.86
  6. Step 6: Final answer
    x = 8,313.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.