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Finding the Fourth Proportional to 6,148.68, 8,492.26 and 4,477.56

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Solution

The fourth proportional to 6,148.68, 8,492.26 and 4,477.56 is: 6,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.68 : 8,492.26 = 4,477.56 : x
  2. Step 2: Convert to fraction form
    6,148.68/8,492.26 = 4,477.56/x
  3. Step 3: Cross multiply
    6,148.68x = 8,492.26 × 4,477.56
  4. Step 4: Simplify right side
    6,148.68x = 38,024,571.26
  5. Step 5: Solve for x
    x = 38,024,571.26/6,148.68
  6. Step 6: Final answer
    x = 6,184.19

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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.