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Finding the Fourth Proportional to 6,632.65, 9,947.42 and 1,951.41

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Solution

The fourth proportional to 6,632.65, 9,947.42 and 1,951.41 is: 2,926.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.65 : 9,947.42 = 1,951.41 : x
  2. Step 2: Convert to fraction form
    6,632.65/9,947.42 = 1,951.41/x
  3. Step 3: Cross multiply
    6,632.65x = 9,947.42 × 1,951.41
  4. Step 4: Simplify right side
    6,632.65x = 19,411,484.75
  5. Step 5: Solve for x
    x = 19,411,484.75/6,632.65
  6. Step 6: Final answer
    x = 2,926.66

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1.5x scale

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.