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Finding the Fourth Proportional to 6,582.65, 9,875.58 and 4,638.65

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Solution

The fourth proportional to 6,582.65, 9,875.58 and 4,638.65 is: 6,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.65 : 9,875.58 = 4,638.65 : x
  2. Step 2: Convert to fraction form
    6,582.65/9,875.58 = 4,638.65/x
  3. Step 3: Cross multiply
    6,582.65x = 9,875.58 × 4,638.65
  4. Step 4: Simplify right side
    6,582.65x = 45,809,309.79
  5. Step 5: Solve for x
    x = 45,809,309.79/6,582.65
  6. Step 6: Final answer
    x = 6,959.10

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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.