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Finding the Fourth Proportional to 6,148.44, 8,492.85 and 4,973.94

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Solution

The fourth proportional to 6,148.44, 8,492.85 and 4,973.94 is: 6,870.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.44 : 8,492.85 = 4,973.94 : x
  2. Step 2: Convert to fraction form
    6,148.44/8,492.85 = 4,973.94/x
  3. Step 3: Cross multiply
    6,148.44x = 8,492.85 × 4,973.94
  4. Step 4: Simplify right side
    6,148.44x = 42,242,926.33
  5. Step 5: Solve for x
    x = 42,242,926.33/6,148.44
  6. Step 6: Final answer
    x = 6,870.51

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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.