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Finding the Fourth Proportional to 6,948.03, 10,415.79 and 2,564.40

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Solution

The fourth proportional to 6,948.03, 10,415.79 and 2,564.40 is: 3,844.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.03 : 10,415.79 = 2,564.40 : x
  2. Step 2: Convert to fraction form
    6,948.03/10,415.79 = 2,564.40/x
  3. Step 3: Cross multiply
    6,948.03x = 10,415.79 × 2,564.40
  4. Step 4: Simplify right side
    6,948.03x = 26,710,251.88
  5. Step 5: Solve for x
    x = 26,710,251.88/6,948.03
  6. Step 6: Final answer
    x = 3,844.29

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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.