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Finding the Fourth Proportional to 10,466.61, 15,699.90 and 6,573.75

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Solution

The fourth proportional to 10,466.61, 15,699.90 and 6,573.75 is: 9,860.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.61 : 15,699.90 = 6,573.75 : x
  2. Step 2: Convert to fraction form
    10,466.61/15,699.90 = 6,573.75/x
  3. Step 3: Cross multiply
    10,466.61x = 15,699.90 × 6,573.75
  4. Step 4: Simplify right side
    10,466.61x = 103,207,217.63
  5. Step 5: Solve for x
    x = 103,207,217.63/10,466.61
  6. Step 6: Final answer
    x = 9,860.62

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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.