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Finding the Fourth Proportional to 9,973.64, 13,763.04 and 5,496.50

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Solution

The fourth proportional to 9,973.64, 13,763.04 and 5,496.50 is: 7,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.64 : 13,763.04 = 5,496.50 : x
  2. Step 2: Convert to fraction form
    9,973.64/13,763.04 = 5,496.50/x
  3. Step 3: Cross multiply
    9,973.64x = 13,763.04 × 5,496.50
  4. Step 4: Simplify right side
    9,973.64x = 75,648,549.36
  5. Step 5: Solve for x
    x = 75,648,549.36/9,973.64
  6. Step 6: Final answer
    x = 7,584.85

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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.