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Finding the Fourth Proportional to 6,338.16, 9,503.76 and 1,954.40

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Solution

The fourth proportional to 6,338.16, 9,503.76 and 1,954.40 is: 2,930.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.16 : 9,503.76 = 1,954.40 : x
  2. Step 2: Convert to fraction form
    6,338.16/9,503.76 = 1,954.40/x
  3. Step 3: Cross multiply
    6,338.16x = 9,503.76 × 1,954.40
  4. Step 4: Simplify right side
    6,338.16x = 18,574,148.54
  5. Step 5: Solve for x
    x = 18,574,148.54/6,338.16
  6. Step 6: Final answer
    x = 2,930.53

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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.