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Finding the Fourth Proportional to 11,777.86, 17,657.07 and 4,847.50

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Solution

The fourth proportional to 11,777.86, 17,657.07 and 4,847.50 is: 7,267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.86 : 17,657.07 = 4,847.50 : x
  2. Step 2: Convert to fraction form
    11,777.86/17,657.07 = 4,847.50/x
  3. Step 3: Cross multiply
    11,777.86x = 17,657.07 × 4,847.50
  4. Step 4: Simplify right side
    11,777.86x = 85,592,646.83
  5. Step 5: Solve for x
    x = 85,592,646.83/11,777.86
  6. Step 6: Final answer
    x = 7,267.25

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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.