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Finding the Fourth Proportional to 7,632.65, 10,532.86 and 4,489.03

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Solution

The fourth proportional to 7,632.65, 10,532.86 and 4,489.03 is: 6,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.65 : 10,532.86 = 4,489.03 : x
  2. Step 2: Convert to fraction form
    7,632.65/10,532.86 = 4,489.03/x
  3. Step 3: Cross multiply
    7,632.65x = 10,532.86 × 4,489.03
  4. Step 4: Simplify right side
    7,632.65x = 47,282,324.53
  5. Step 5: Solve for x
    x = 47,282,324.53/7,632.65
  6. Step 6: Final answer
    x = 6,194.75

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1.5x scale

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.