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Finding the Fourth Proportional to 4,681.05, 7,000.92 and 4,164.68

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Solution

The fourth proportional to 4,681.05, 7,000.92 and 4,164.68 is: 6,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.05 : 7,000.92 = 4,164.68 : x
  2. Step 2: Convert to fraction form
    4,681.05/7,000.92 = 4,164.68/x
  3. Step 3: Cross multiply
    4,681.05x = 7,000.92 × 4,164.68
  4. Step 4: Simplify right side
    4,681.05x = 29,156,556.50
  5. Step 5: Solve for x
    x = 29,156,556.50/4,681.05
  6. Step 6: Final answer
    x = 6,228.64

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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.