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Finding the Fourth Proportional to 7,887.10, 11,830.65 and 7,771.90

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Solution

The fourth proportional to 7,887.10, 11,830.65 and 7,771.90 is: 11,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.10 : 11,830.65 = 7,771.90 : x
  2. Step 2: Convert to fraction form
    7,887.10/11,830.65 = 7,771.90/x
  3. Step 3: Cross multiply
    7,887.10x = 11,830.65 × 7,771.90
  4. Step 4: Simplify right side
    7,887.10x = 91,946,628.74
  5. Step 5: Solve for x
    x = 91,946,628.74/7,887.10
  6. Step 6: Final answer
    x = 11,657.85

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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.