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Finding the Fourth Proportional to 9,490.86, 14,233.86 and 6,528.69

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Solution

The fourth proportional to 9,490.86, 14,233.86 and 6,528.69 is: 9,791.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.86 : 14,233.86 = 6,528.69 : x
  2. Step 2: Convert to fraction form
    9,490.86/14,233.86 = 6,528.69/x
  3. Step 3: Cross multiply
    9,490.86x = 14,233.86 × 6,528.69
  4. Step 4: Simplify right side
    9,490.86x = 92,928,459.44
  5. Step 5: Solve for x
    x = 92,928,459.44/9,490.86
  6. Step 6: Final answer
    x = 9,791.36

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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.