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Finding the Fourth Proportional to 7,848.88, 10,838.49 and 5,855.98

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Solution

The fourth proportional to 7,848.88, 10,838.49 and 5,855.98 is: 8,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.88 : 10,838.49 = 5,855.98 : x
  2. Step 2: Convert to fraction form
    7,848.88/10,838.49 = 5,855.98/x
  3. Step 3: Cross multiply
    7,848.88x = 10,838.49 × 5,855.98
  4. Step 4: Simplify right side
    7,848.88x = 63,470,007.77
  5. Step 5: Solve for x
    x = 63,470,007.77/7,848.88
  6. Step 6: Final answer
    x = 8,086.50

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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.