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Finding the Fourth Proportional to 6,582.33, 9,875.12 and 4,638.33

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Solution

The fourth proportional to 6,582.33, 9,875.12 and 4,638.33 is: 6,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.33 : 9,875.12 = 4,638.33 : x
  2. Step 2: Convert to fraction form
    6,582.33/9,875.12 = 4,638.33/x
  3. Step 3: Cross multiply
    6,582.33x = 9,875.12 × 4,638.33
  4. Step 4: Simplify right side
    6,582.33x = 45,804,065.35
  5. Step 5: Solve for x
    x = 45,804,065.35/6,582.33
  6. Step 6: Final answer
    x = 6,958.64

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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.