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Finding the Fourth Proportional to 7,107.92, 9,810.60 and 4,454

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Solution

The fourth proportional to 7,107.92, 9,810.60 and 4,454 is: 6,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.92 : 9,810.60 = 4,454 : x
  2. Step 2: Convert to fraction form
    7,107.92/9,810.60 = 4,454/x
  3. Step 3: Cross multiply
    7,107.92x = 9,810.60 × 4,454
  4. Step 4: Simplify right side
    7,107.92x = 43,696,412.40
  5. Step 5: Solve for x
    x = 43,696,412.40/7,107.92
  6. Step 6: Final answer
    x = 6,147.57

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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.