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Finding the Fourth Proportional to 6,148.84, 8,475.24 and 4,354

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Solution

The fourth proportional to 6,148.84, 8,475.24 and 4,354 is: 6,001.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.84 : 8,475.24 = 4,354 : x
  2. Step 2: Convert to fraction form
    6,148.84/8,475.24 = 4,354/x
  3. Step 3: Cross multiply
    6,148.84x = 8,475.24 × 4,354
  4. Step 4: Simplify right side
    6,148.84x = 36,901,194.96
  5. Step 5: Solve for x
    x = 36,901,194.96/6,148.84
  6. Step 6: Final answer
    x = 6,001.33

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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.