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Finding the Fourth Proportional to 7,783.44, 11,678.10 and 4,665.67

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Solution

The fourth proportional to 7,783.44, 11,678.10 and 4,665.67 is: 7,000.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.44 : 11,678.10 = 4,665.67 : x
  2. Step 2: Convert to fraction form
    7,783.44/11,678.10 = 4,665.67/x
  3. Step 3: Cross multiply
    7,783.44x = 11,678.10 × 4,665.67
  4. Step 4: Simplify right side
    7,783.44x = 54,486,114.14
  5. Step 5: Solve for x
    x = 54,486,114.14/7,783.44
  6. Step 6: Final answer
    x = 7,000.26

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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.