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Finding the Fourth Proportional to 7,814.67, 10,784.26 and 4,277.89

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Solution

The fourth proportional to 7,814.67, 10,784.26 and 4,277.89 is: 5,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.67 : 10,784.26 = 4,277.89 : x
  2. Step 2: Convert to fraction form
    7,814.67/10,784.26 = 4,277.89/x
  3. Step 3: Cross multiply
    7,814.67x = 10,784.26 × 4,277.89
  4. Step 4: Simplify right side
    7,814.67x = 46,133,872.78
  5. Step 5: Solve for x
    x = 46,133,872.78/7,814.67
  6. Step 6: Final answer
    x = 5,903.49

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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.