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Finding the Fourth Proportional to 6,359.50, 9,528.13 and 4,412.94

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Solution

The fourth proportional to 6,359.50, 9,528.13 and 4,412.94 is: 6,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.50 : 9,528.13 = 4,412.94 : x
  2. Step 2: Convert to fraction form
    6,359.50/9,528.13 = 4,412.94/x
  3. Step 3: Cross multiply
    6,359.50x = 9,528.13 × 4,412.94
  4. Step 4: Simplify right side
    6,359.50x = 42,047,066.00
  5. Step 5: Solve for x
    x = 42,047,066.00/6,359.50
  6. Step 6: Final answer
    x = 6,611.69

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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.