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Finding the Fourth Proportional to 6,548.40, 9,036.72 and 3,564

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Solution

The fourth proportional to 6,548.40, 9,036.72 and 3,564 is: 4,918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.40 : 9,036.72 = 3,564 : x
  2. Step 2: Convert to fraction form
    6,548.40/9,036.72 = 3,564/x
  3. Step 3: Cross multiply
    6,548.40x = 9,036.72 × 3,564
  4. Step 4: Simplify right side
    6,548.40x = 32,206,870.08
  5. Step 5: Solve for x
    x = 32,206,870.08/6,548.40
  6. Step 6: Final answer
    x = 4,918.28

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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.