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Finding the Fourth Proportional to 6,322.93, 9,484 and 1,940.38

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Solution

The fourth proportional to 6,322.93, 9,484 and 1,940.38 is: 2,910.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.93 : 9,484 = 1,940.38 : x
  2. Step 2: Convert to fraction form
    6,322.93/9,484 = 1,940.38/x
  3. Step 3: Cross multiply
    6,322.93x = 9,484 × 1,940.38
  4. Step 4: Simplify right side
    6,322.93x = 18,402,563.92
  5. Step 5: Solve for x
    x = 18,402,563.92/6,322.93
  6. Step 6: Final answer
    x = 2,910.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.