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Finding the Fourth Proportional to 7,814.66, 10,784.12 and 4,277.88

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Solution

The fourth proportional to 7,814.66, 10,784.12 and 4,277.88 is: 5,903.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.66 : 10,784.12 = 4,277.88 : x
  2. Step 2: Convert to fraction form
    7,814.66/10,784.12 = 4,277.88/x
  3. Step 3: Cross multiply
    7,814.66x = 10,784.12 × 4,277.88
  4. Step 4: Simplify right side
    7,814.66x = 46,133,171.27
  5. Step 5: Solve for x
    x = 46,133,171.27/7,814.66
  6. Step 6: Final answer
    x = 5,903.41

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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.