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Finding the Fourth Proportional to 7,459.42, 10,295.49 and 5,687.86

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Solution

The fourth proportional to 7,459.42, 10,295.49 and 5,687.86 is: 7,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.42 : 10,295.49 = 5,687.86 : x
  2. Step 2: Convert to fraction form
    7,459.42/10,295.49 = 5,687.86/x
  3. Step 3: Cross multiply
    7,459.42x = 10,295.49 × 5,687.86
  4. Step 4: Simplify right side
    7,459.42x = 58,559,305.75
  5. Step 5: Solve for x
    x = 58,559,305.75/7,459.42
  6. Step 6: Final answer
    x = 7,850.38

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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.