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Finding the Fourth Proportional to 5,609.95, 8,414.93 and 1,505.95

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Solution

The fourth proportional to 5,609.95, 8,414.93 and 1,505.95 is: 2,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.95 : 8,414.93 = 1,505.95 : x
  2. Step 2: Convert to fraction form
    5,609.95/8,414.93 = 1,505.95/x
  3. Step 3: Cross multiply
    5,609.95x = 8,414.93 × 1,505.95
  4. Step 4: Simplify right side
    5,609.95x = 12,672,489.66
  5. Step 5: Solve for x
    x = 12,672,489.66/5,609.95
  6. Step 6: Final answer
    x = 2,258.93

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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.