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Finding the Fourth Proportional to 4,567.76, 6,867.95 and 4,206.90

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Solution

The fourth proportional to 4,567.76, 6,867.95 and 4,206.90 is: 6,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.76 : 6,867.95 = 4,206.90 : x
  2. Step 2: Convert to fraction form
    4,567.76/6,867.95 = 4,206.90/x
  3. Step 3: Cross multiply
    4,567.76x = 6,867.95 × 4,206.90
  4. Step 4: Simplify right side
    4,567.76x = 28,892,757.82
  5. Step 5: Solve for x
    x = 28,892,757.82/4,567.76
  6. Step 6: Final answer
    x = 6,325.37

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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.