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Finding the Fourth Proportional to 7,099.09, 9,792.39 and 4,709.17

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Solution

The fourth proportional to 7,099.09, 9,792.39 and 4,709.17 is: 6,495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.09 : 9,792.39 = 4,709.17 : x
  2. Step 2: Convert to fraction form
    7,099.09/9,792.39 = 4,709.17/x
  3. Step 3: Cross multiply
    7,099.09x = 9,792.39 × 4,709.17
  4. Step 4: Simplify right side
    7,099.09x = 46,114,029.22
  5. Step 5: Solve for x
    x = 46,114,029.22/7,099.09
  6. Step 6: Final answer
    x = 6,495.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.