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Finding the Fourth Proportional to 9,414.74, 12,994.36 and 6,437.58

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Solution

The fourth proportional to 9,414.74, 12,994.36 and 6,437.58 is: 8,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.74 : 12,994.36 = 6,437.58 : x
  2. Step 2: Convert to fraction form
    9,414.74/12,994.36 = 6,437.58/x
  3. Step 3: Cross multiply
    9,414.74x = 12,994.36 × 6,437.58
  4. Step 4: Simplify right side
    9,414.74x = 83,652,232.05
  5. Step 5: Solve for x
    x = 83,652,232.05/9,414.74
  6. Step 6: Final answer
    x = 8,885.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.