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Finding the Fourth Proportional to 6,356.19, 9,495.49 and 5,059.11

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Solution

The fourth proportional to 6,356.19, 9,495.49 and 5,059.11 is: 7,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.19 : 9,495.49 = 5,059.11 : x
  2. Step 2: Convert to fraction form
    6,356.19/9,495.49 = 5,059.11/x
  3. Step 3: Cross multiply
    6,356.19x = 9,495.49 × 5,059.11
  4. Step 4: Simplify right side
    6,356.19x = 48,038,715.77
  5. Step 5: Solve for x
    x = 48,038,715.77/6,356.19
  6. Step 6: Final answer
    x = 7,557.78

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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.