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Finding the Fourth Proportional to 7,833.48, 10,806.12 and 6,343.08

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Solution

The fourth proportional to 7,833.48, 10,806.12 and 6,343.08 is: 8,750.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.48 : 10,806.12 = 6,343.08 : x
  2. Step 2: Convert to fraction form
    7,833.48/10,806.12 = 6,343.08/x
  3. Step 3: Cross multiply
    7,833.48x = 10,806.12 × 6,343.08
  4. Step 4: Simplify right side
    7,833.48x = 68,544,083.65
  5. Step 5: Solve for x
    x = 68,544,083.65/7,833.48
  6. Step 6: Final answer
    x = 8,750.14

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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.