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Finding the Fourth Proportional to 7,846.98, 10,838.41 and 5,866.32

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Solution

The fourth proportional to 7,846.98, 10,838.41 and 5,866.32 is: 8,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.98 : 10,838.41 = 5,866.32 : x
  2. Step 2: Convert to fraction form
    7,846.98/10,838.41 = 5,866.32/x
  3. Step 3: Cross multiply
    7,846.98x = 10,838.41 × 5,866.32
  4. Step 4: Simplify right side
    7,846.98x = 63,581,607.33
  5. Step 5: Solve for x
    x = 63,581,607.33/7,846.98
  6. Step 6: Final answer
    x = 8,102.69

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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.