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Finding the Fourth Proportional to 7,641.65, 11,470.20 and 3,946.52

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Solution

The fourth proportional to 7,641.65, 11,470.20 and 3,946.52 is: 5,923.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.65 : 11,470.20 = 3,946.52 : x
  2. Step 2: Convert to fraction form
    7,641.65/11,470.20 = 3,946.52/x
  3. Step 3: Cross multiply
    7,641.65x = 11,470.20 × 3,946.52
  4. Step 4: Simplify right side
    7,641.65x = 45,267,373.70
  5. Step 5: Solve for x
    x = 45,267,373.70/7,641.65
  6. Step 6: Final answer
    x = 5,923.77

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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.