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Finding the Fourth Proportional to 9,874.95, 14,797.49 and 4,325.19

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Solution

The fourth proportional to 9,874.95, 14,797.49 and 4,325.19 is: 6,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.95 : 14,797.49 = 4,325.19 : x
  2. Step 2: Convert to fraction form
    9,874.95/14,797.49 = 4,325.19/x
  3. Step 3: Cross multiply
    9,874.95x = 14,797.49 × 4,325.19
  4. Step 4: Simplify right side
    9,874.95x = 64,001,934.15
  5. Step 5: Solve for x
    x = 64,001,934.15/9,874.95
  6. Step 6: Final answer
    x = 6,481.24

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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.