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Finding the Fourth Proportional to 6,328.65, 9,502.58 and 4,869.45

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Solution

The fourth proportional to 6,328.65, 9,502.58 and 4,869.45 is: 7,311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.65 : 9,502.58 = 4,869.45 : x
  2. Step 2: Convert to fraction form
    6,328.65/9,502.58 = 4,869.45/x
  3. Step 3: Cross multiply
    6,328.65x = 9,502.58 × 4,869.45
  4. Step 4: Simplify right side
    6,328.65x = 46,272,313.83
  5. Step 5: Solve for x
    x = 46,272,313.83/6,328.65
  6. Step 6: Final answer
    x = 7,311.56

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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.