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Finding the Fourth Proportional to 7,803.81, 10,744.29 and 6,316.65

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Solution

The fourth proportional to 7,803.81, 10,744.29 and 6,316.65 is: 8,696.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.81 : 10,744.29 = 6,316.65 : x
  2. Step 2: Convert to fraction form
    7,803.81/10,744.29 = 6,316.65/x
  3. Step 3: Cross multiply
    7,803.81x = 10,744.29 × 6,316.65
  4. Step 4: Simplify right side
    7,803.81x = 67,867,919.43
  5. Step 5: Solve for x
    x = 67,867,919.43/7,803.81
  6. Step 6: Final answer
    x = 8,696.77

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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.