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Finding the Fourth Proportional to 6,948, 9,588.24 and 4,464

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Solution

The fourth proportional to 6,948, 9,588.24 and 4,464 is: 6,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948 : 9,588.24 = 4,464 : x
  2. Step 2: Convert to fraction form
    6,948/9,588.24 = 4,464/x
  3. Step 3: Cross multiply
    6,948x = 9,588.24 × 4,464
  4. Step 4: Simplify right side
    6,948x = 42,801,903.36
  5. Step 5: Solve for x
    x = 42,801,903.36/6,948
  6. Step 6: Final answer
    x = 6,160.32

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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.