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Finding the Fourth Proportional to 7,762.52, 11,644.44 and 6,848.84

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Solution

The fourth proportional to 7,762.52, 11,644.44 and 6,848.84 is: 10,273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.52 : 11,644.44 = 6,848.84 : x
  2. Step 2: Convert to fraction form
    7,762.52/11,644.44 = 6,848.84/x
  3. Step 3: Cross multiply
    7,762.52x = 11,644.44 × 6,848.84
  4. Step 4: Simplify right side
    7,762.52x = 79,750,906.45
  5. Step 5: Solve for x
    x = 79,750,906.45/7,762.52
  6. Step 6: Final answer
    x = 10,273.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.