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Finding the Fourth Proportional to 6,509.49, 9,762.21 and 2,348.96

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Solution

The fourth proportional to 6,509.49, 9,762.21 and 2,348.96 is: 3,522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.49 : 9,762.21 = 2,348.96 : x
  2. Step 2: Convert to fraction form
    6,509.49/9,762.21 = 2,348.96/x
  3. Step 3: Cross multiply
    6,509.49x = 9,762.21 × 2,348.96
  4. Step 4: Simplify right side
    6,509.49x = 22,930,991.99
  5. Step 5: Solve for x
    x = 22,930,991.99/6,509.49
  6. Step 6: Final answer
    x = 3,522.70

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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.