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Finding the Fourth Proportional to 6,209.24, 9,314 and 4,970.92

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Solution

The fourth proportional to 6,209.24, 9,314 and 4,970.92 is: 7,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.24 : 9,314 = 4,970.92 : x
  2. Step 2: Convert to fraction form
    6,209.24/9,314 = 4,970.92/x
  3. Step 3: Cross multiply
    6,209.24x = 9,314 × 4,970.92
  4. Step 4: Simplify right side
    6,209.24x = 46,299,148.88
  5. Step 5: Solve for x
    x = 46,299,148.88/6,209.24
  6. Step 6: Final answer
    x = 7,456.49

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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.