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Finding the Fourth Proportional to 13,152, 19,736.64 and 4,944

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Solution

The fourth proportional to 13,152, 19,736.64 and 4,944 is: 7,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152 : 19,736.64 = 4,944 : x
  2. Step 2: Convert to fraction form
    13,152/19,736.64 = 4,944/x
  3. Step 3: Cross multiply
    13,152x = 19,736.64 × 4,944
  4. Step 4: Simplify right side
    13,152x = 97,577,948.16
  5. Step 5: Solve for x
    x = 97,577,948.16/13,152
  6. Step 6: Final answer
    x = 7,419.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.