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Finding the Fourth Proportional to 6,376.86, 8,804.43 and 4,882.14

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Solution

The fourth proportional to 6,376.86, 8,804.43 and 4,882.14 is: 6,740.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.86 : 8,804.43 = 4,882.14 : x
  2. Step 2: Convert to fraction form
    6,376.86/8,804.43 = 4,882.14/x
  3. Step 3: Cross multiply
    6,376.86x = 8,804.43 × 4,882.14
  4. Step 4: Simplify right side
    6,376.86x = 42,984,459.88
  5. Step 5: Solve for x
    x = 42,984,459.88/6,376.86
  6. Step 6: Final answer
    x = 6,740.69

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1.5x scale

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.