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Finding the Fourth Proportional to 9,471.70, 14,207.55 and 4,205.48

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Solution

The fourth proportional to 9,471.70, 14,207.55 and 4,205.48 is: 6,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.70 : 14,207.55 = 4,205.48 : x
  2. Step 2: Convert to fraction form
    9,471.70/14,207.55 = 4,205.48/x
  3. Step 3: Cross multiply
    9,471.70x = 14,207.55 × 4,205.48
  4. Step 4: Simplify right side
    9,471.70x = 59,749,496.34
  5. Step 5: Solve for x
    x = 59,749,496.34/9,471.70
  6. Step 6: Final answer
    x = 6,308.21

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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.