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Finding the Fourth Proportional to 7,814.70, 10,784.25 and 4,277.97

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Solution

The fourth proportional to 7,814.70, 10,784.25 and 4,277.97 is: 5,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.70 : 10,784.25 = 4,277.97 : x
  2. Step 2: Convert to fraction form
    7,814.70/10,784.25 = 4,277.97/x
  3. Step 3: Cross multiply
    7,814.70x = 10,784.25 × 4,277.97
  4. Step 4: Simplify right side
    7,814.70x = 46,134,697.97
  5. Step 5: Solve for x
    x = 46,134,697.97/7,814.70
  6. Step 6: Final answer
    x = 5,903.58

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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.