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Finding the Fourth Proportional to 6,045.22, 9,069.65 and 5,000.50

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Solution

The fourth proportional to 6,045.22, 9,069.65 and 5,000.50 is: 7,502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,045.22 : 9,069.65 = 5,000.50 : x
  2. Step 2: Convert to fraction form
    6,045.22/9,069.65 = 5,000.50/x
  3. Step 3: Cross multiply
    6,045.22x = 9,069.65 × 5,000.50
  4. Step 4: Simplify right side
    6,045.22x = 45,352,784.83
  5. Step 5: Solve for x
    x = 45,352,784.83/6,045.22
  6. Step 6: Final answer
    x = 7,502.26

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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.