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Finding the Fourth Proportional to 6,298.12, 9,448.62 and 1,916.20

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Solution

The fourth proportional to 6,298.12, 9,448.62 and 1,916.20 is: 2,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.12 : 9,448.62 = 1,916.20 : x
  2. Step 2: Convert to fraction form
    6,298.12/9,448.62 = 1,916.20/x
  3. Step 3: Cross multiply
    6,298.12x = 9,448.62 × 1,916.20
  4. Step 4: Simplify right side
    6,298.12x = 18,105,445.64
  5. Step 5: Solve for x
    x = 18,105,445.64/6,298.12
  6. Step 6: Final answer
    x = 2,874.74

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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.