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Finding the Fourth Proportional to 6,509.43, 9,763.08 and 1,829.76

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Solution

The fourth proportional to 6,509.43, 9,763.08 and 1,829.76 is: 2,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.43 : 9,763.08 = 1,829.76 : x
  2. Step 2: Convert to fraction form
    6,509.43/9,763.08 = 1,829.76/x
  3. Step 3: Cross multiply
    6,509.43x = 9,763.08 × 1,829.76
  4. Step 4: Simplify right side
    6,509.43x = 17,864,093.26
  5. Step 5: Solve for x
    x = 17,864,093.26/6,509.43
  6. Step 6: Final answer
    x = 2,744.34

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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.