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Finding the Fourth Proportional to 6,226.61, 8,583.80 and 4,898.01

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Solution

The fourth proportional to 6,226.61, 8,583.80 and 4,898.01 is: 6,752.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.61 : 8,583.80 = 4,898.01 : x
  2. Step 2: Convert to fraction form
    6,226.61/8,583.80 = 4,898.01/x
  3. Step 3: Cross multiply
    6,226.61x = 8,583.80 × 4,898.01
  4. Step 4: Simplify right side
    6,226.61x = 42,043,513.75
  5. Step 5: Solve for x
    x = 42,043,513.75/6,226.61
  6. Step 6: Final answer
    x = 6,752.23

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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.