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Finding the Fourth Proportional to 7,775.80, 11,663.64 and 4,486.78

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Solution

The fourth proportional to 7,775.80, 11,663.64 and 4,486.78 is: 6,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.80 : 11,663.64 = 4,486.78 : x
  2. Step 2: Convert to fraction form
    7,775.80/11,663.64 = 4,486.78/x
  3. Step 3: Cross multiply
    7,775.80x = 11,663.64 × 4,486.78
  4. Step 4: Simplify right side
    7,775.80x = 52,332,186.68
  5. Step 5: Solve for x
    x = 52,332,186.68/7,775.80
  6. Step 6: Final answer
    x = 6,730.14

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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.