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Finding the Fourth Proportional to 6,295.90, 9,443.34 and 1,913.38

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Solution

The fourth proportional to 6,295.90, 9,443.34 and 1,913.38 is: 2,869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.90 : 9,443.34 = 1,913.38 : x
  2. Step 2: Convert to fraction form
    6,295.90/9,443.34 = 1,913.38/x
  3. Step 3: Cross multiply
    6,295.90x = 9,443.34 × 1,913.38
  4. Step 4: Simplify right side
    6,295.90x = 18,068,697.89
  5. Step 5: Solve for x
    x = 18,068,697.89/6,295.90
  6. Step 6: Final answer
    x = 2,869.92

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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.