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Finding the Fourth Proportional to 7,458.50, 11,182.10 and 6,430.61

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Solution

The fourth proportional to 7,458.50, 11,182.10 and 6,430.61 is: 9,641.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.50 : 11,182.10 = 6,430.61 : x
  2. Step 2: Convert to fraction form
    7,458.50/11,182.10 = 6,430.61/x
  3. Step 3: Cross multiply
    7,458.50x = 11,182.10 × 6,430.61
  4. Step 4: Simplify right side
    7,458.50x = 71,907,636.02
  5. Step 5: Solve for x
    x = 71,907,636.02/7,458.50
  6. Step 6: Final answer
    x = 9,641.04

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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.