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Finding the Fourth Proportional to 6,332.50, 9,501.99 and 2,823.58

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Solution

The fourth proportional to 6,332.50, 9,501.99 and 2,823.58 is: 4,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.50 : 9,501.99 = 2,823.58 : x
  2. Step 2: Convert to fraction form
    6,332.50/9,501.99 = 2,823.58/x
  3. Step 3: Cross multiply
    6,332.50x = 9,501.99 × 2,823.58
  4. Step 4: Simplify right side
    6,332.50x = 26,829,628.92
  5. Step 5: Solve for x
    x = 26,829,628.92/6,332.50
  6. Step 6: Final answer
    x = 4,236.81

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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.