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Finding the Fourth Proportional to 5,849.58, 8,774.10 and 4,209.06

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Solution

The fourth proportional to 5,849.58, 8,774.10 and 4,209.06 is: 6,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.58 : 8,774.10 = 4,209.06 : x
  2. Step 2: Convert to fraction form
    5,849.58/8,774.10 = 4,209.06/x
  3. Step 3: Cross multiply
    5,849.58x = 8,774.10 × 4,209.06
  4. Step 4: Simplify right side
    5,849.58x = 36,930,713.35
  5. Step 5: Solve for x
    x = 36,930,713.35/5,849.58
  6. Step 6: Final answer
    x = 6,313.40

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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.