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Finding the Fourth Proportional to 9,820, 13,551.60 and 5,404

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Solution

The fourth proportional to 9,820, 13,551.60 and 5,404 is: 7,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820 : 13,551.60 = 5,404 : x
  2. Step 2: Convert to fraction form
    9,820/13,551.60 = 5,404/x
  3. Step 3: Cross multiply
    9,820x = 13,551.60 × 5,404
  4. Step 4: Simplify right side
    9,820x = 73,232,846.40
  5. Step 5: Solve for x
    x = 73,232,846.40/9,820
  6. Step 6: Final answer
    x = 7,457.52

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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.