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Finding the Fourth Proportional to 7,117.79, 9,822.62 and 4,133.75

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Solution

The fourth proportional to 7,117.79, 9,822.62 and 4,133.75 is: 5,704.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.79 : 9,822.62 = 4,133.75 : x
  2. Step 2: Convert to fraction form
    7,117.79/9,822.62 = 4,133.75/x
  3. Step 3: Cross multiply
    7,117.79x = 9,822.62 × 4,133.75
  4. Step 4: Simplify right side
    7,117.79x = 40,604,234.76
  5. Step 5: Solve for x
    x = 40,604,234.76/7,117.79
  6. Step 6: Final answer
    x = 5,704.61

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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.