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Finding the Fourth Proportional to 27,734.96, 41,603.88 and 6,958.64

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Solution

The fourth proportional to 27,734.96, 41,603.88 and 6,958.64 is: 10,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,734.96 : 41,603.88 = 6,958.64 : x
  2. Step 2: Convert to fraction form
    27,734.96/41,603.88 = 6,958.64/x
  3. Step 3: Cross multiply
    27,734.96x = 41,603.88 × 6,958.64
  4. Step 4: Simplify right side
    27,734.96x = 289,506,423.52
  5. Step 5: Solve for x
    x = 289,506,423.52/27,734.96
  6. Step 6: Final answer
    x = 10,438.32

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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.