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Finding the Fourth Proportional to 6,300.48, 9,451.12 and 1,918.24

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Solution

The fourth proportional to 6,300.48, 9,451.12 and 1,918.24 is: 2,877.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.48 : 9,451.12 = 1,918.24 : x
  2. Step 2: Convert to fraction form
    6,300.48/9,451.12 = 1,918.24/x
  3. Step 3: Cross multiply
    6,300.48x = 9,451.12 × 1,918.24
  4. Step 4: Simplify right side
    6,300.48x = 18,129,516.43
  5. Step 5: Solve for x
    x = 18,129,516.43/6,300.48
  6. Step 6: Final answer
    x = 2,877.48

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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.