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Finding the Fourth Proportional to 6,415.72, 8,849.38 and 4,826.50

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Solution

The fourth proportional to 6,415.72, 8,849.38 and 4,826.50 is: 6,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.72 : 8,849.38 = 4,826.50 : x
  2. Step 2: Convert to fraction form
    6,415.72/8,849.38 = 4,826.50/x
  3. Step 3: Cross multiply
    6,415.72x = 8,849.38 × 4,826.50
  4. Step 4: Simplify right side
    6,415.72x = 42,711,464.19
  5. Step 5: Solve for x
    x = 42,711,464.19/6,415.72
  6. Step 6: Final answer
    x = 6,657.32

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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.