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Finding the Fourth Proportional to 7,804.65, 10,763.20 and 5,290.41

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Solution

The fourth proportional to 7,804.65, 10,763.20 and 5,290.41 is: 7,295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.65 : 10,763.20 = 5,290.41 : x
  2. Step 2: Convert to fraction form
    7,804.65/10,763.20 = 5,290.41/x
  3. Step 3: Cross multiply
    7,804.65x = 10,763.20 × 5,290.41
  4. Step 4: Simplify right side
    7,804.65x = 56,941,727.69
  5. Step 5: Solve for x
    x = 56,941,727.69/7,804.65
  6. Step 6: Final answer
    x = 7,295.87

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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.