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Finding the Fourth Proportional to 6,858.24, 9,467 and 4,209.24

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Solution

The fourth proportional to 6,858.24, 9,467 and 4,209.24 is: 5,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.24 : 9,467 = 4,209.24 : x
  2. Step 2: Convert to fraction form
    6,858.24/9,467 = 4,209.24/x
  3. Step 3: Cross multiply
    6,858.24x = 9,467 × 4,209.24
  4. Step 4: Simplify right side
    6,858.24x = 39,848,875.08
  5. Step 5: Solve for x
    x = 39,848,875.08/6,858.24
  6. Step 6: Final answer
    x = 5,810.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.