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Finding the Fourth Proportional to 6,148.55, 8,492.09 and 4,477.43

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Solution

The fourth proportional to 6,148.55, 8,492.09 and 4,477.43 is: 6,184.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.55 : 8,492.09 = 4,477.43 : x
  2. Step 2: Convert to fraction form
    6,148.55/8,492.09 = 4,477.43/x
  3. Step 3: Cross multiply
    6,148.55x = 8,492.09 × 4,477.43
  4. Step 4: Simplify right side
    6,148.55x = 38,022,737.37
  5. Step 5: Solve for x
    x = 38,022,737.37/6,148.55
  6. Step 6: Final answer
    x = 6,184.01

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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.