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Finding the Fourth Proportional to 10,382.46, 14,323.46 and 6,798.30

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Solution

The fourth proportional to 10,382.46, 14,323.46 and 6,798.30 is: 9,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.46 : 14,323.46 = 6,798.30 : x
  2. Step 2: Convert to fraction form
    10,382.46/14,323.46 = 6,798.30/x
  3. Step 3: Cross multiply
    10,382.46x = 14,323.46 × 6,798.30
  4. Step 4: Simplify right side
    10,382.46x = 97,375,144.13
  5. Step 5: Solve for x
    x = 97,375,144.13/10,382.46
  6. Step 6: Final answer
    x = 9,378.81

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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.