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Finding the Fourth Proportional to 7,382.81, 10,188.28 and 4,239

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Solution

The fourth proportional to 7,382.81, 10,188.28 and 4,239 is: 5,849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.81 : 10,188.28 = 4,239 : x
  2. Step 2: Convert to fraction form
    7,382.81/10,188.28 = 4,239/x
  3. Step 3: Cross multiply
    7,382.81x = 10,188.28 × 4,239
  4. Step 4: Simplify right side
    7,382.81x = 43,188,124.22
  5. Step 5: Solve for x
    x = 43,188,124.22/7,382.81
  6. Step 6: Final answer
    x = 5,849.82

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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.