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Finding the Fourth Proportional to 8,570, 11,826.60 and 4,844

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Solution

The fourth proportional to 8,570, 11,826.60 and 4,844 is: 6,684.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570 : 11,826.60 = 4,844 : x
  2. Step 2: Convert to fraction form
    8,570/11,826.60 = 4,844/x
  3. Step 3: Cross multiply
    8,570x = 11,826.60 × 4,844
  4. Step 4: Simplify right side
    8,570x = 57,288,050.40
  5. Step 5: Solve for x
    x = 57,288,050.40/8,570
  6. Step 6: Final answer
    x = 6,684.72

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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.