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Finding the Fourth Proportional to 9,000.56, 13,478.52 and 6,230

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Solution

The fourth proportional to 9,000.56, 13,478.52 and 6,230 is: 9,329.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.56 : 13,478.52 = 6,230 : x
  2. Step 2: Convert to fraction form
    9,000.56/13,478.52 = 6,230/x
  3. Step 3: Cross multiply
    9,000.56x = 13,478.52 × 6,230
  4. Step 4: Simplify right side
    9,000.56x = 83,971,179.60
  5. Step 5: Solve for x
    x = 83,971,179.60/9,000.56
  6. Step 6: Final answer
    x = 9,329.55

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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.