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Finding the Fourth Proportional to 6,529.99, 9,744.62 and 5,829.17

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Solution

The fourth proportional to 6,529.99, 9,744.62 and 5,829.17 is: 8,698.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.99 : 9,744.62 = 5,829.17 : x
  2. Step 2: Convert to fraction form
    6,529.99/9,744.62 = 5,829.17/x
  3. Step 3: Cross multiply
    6,529.99x = 9,744.62 × 5,829.17
  4. Step 4: Simplify right side
    6,529.99x = 56,803,029.20
  5. Step 5: Solve for x
    x = 56,803,029.20/6,529.99
  6. Step 6: Final answer
    x = 8,698.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.