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Finding the Fourth Proportional to 6,300.12, 9,451.62 and 1,918.20

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Solution

The fourth proportional to 6,300.12, 9,451.62 and 1,918.20 is: 2,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.12 : 9,451.62 = 1,918.20 : x
  2. Step 2: Convert to fraction form
    6,300.12/9,451.62 = 1,918.20/x
  3. Step 3: Cross multiply
    6,300.12x = 9,451.62 × 1,918.20
  4. Step 4: Simplify right side
    6,300.12x = 18,130,097.48
  5. Step 5: Solve for x
    x = 18,130,097.48/6,300.12
  6. Step 6: Final answer
    x = 2,877.74

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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.