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Finding the Fourth Proportional to 7,117.40, 10,659.90 and 4,201.40

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Solution

The fourth proportional to 7,117.40, 10,659.90 and 4,201.40 is: 6,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.40 : 10,659.90 = 4,201.40 : x
  2. Step 2: Convert to fraction form
    7,117.40/10,659.90 = 4,201.40/x
  3. Step 3: Cross multiply
    7,117.40x = 10,659.90 × 4,201.40
  4. Step 4: Simplify right side
    7,117.40x = 44,786,503.86
  5. Step 5: Solve for x
    x = 44,786,503.86/7,117.40
  6. Step 6: Final answer
    x = 6,292.54

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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.