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Finding the Fourth Proportional to 6,098.86, 8,415.84 and 4,506.49

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Solution

The fourth proportional to 6,098.86, 8,415.84 and 4,506.49 is: 6,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.86 : 8,415.84 = 4,506.49 : x
  2. Step 2: Convert to fraction form
    6,098.86/8,415.84 = 4,506.49/x
  3. Step 3: Cross multiply
    6,098.86x = 8,415.84 × 4,506.49
  4. Step 4: Simplify right side
    6,098.86x = 37,925,898.80
  5. Step 5: Solve for x
    x = 37,925,898.80/6,098.86
  6. Step 6: Final answer
    x = 6,218.52

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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.