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Finding the Fourth Proportional to 6,499.14, 9,735.75 and 4,941.78

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Solution

The fourth proportional to 6,499.14, 9,735.75 and 4,941.78 is: 7,402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.14 : 9,735.75 = 4,941.78 : x
  2. Step 2: Convert to fraction form
    6,499.14/9,735.75 = 4,941.78/x
  3. Step 3: Cross multiply
    6,499.14x = 9,735.75 × 4,941.78
  4. Step 4: Simplify right side
    6,499.14x = 48,111,934.64
  5. Step 5: Solve for x
    x = 48,111,934.64/6,499.14
  6. Step 6: Final answer
    x = 7,402.82

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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.