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Finding the Fourth Proportional to 10,602.90, 14,636.97 and 6,629.85

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Solution

The fourth proportional to 10,602.90, 14,636.97 and 6,629.85 is: 9,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.90 : 14,636.97 = 6,629.85 : x
  2. Step 2: Convert to fraction form
    10,602.90/14,636.97 = 6,629.85/x
  3. Step 3: Cross multiply
    10,602.90x = 14,636.97 × 6,629.85
  4. Step 4: Simplify right side
    10,602.90x = 97,040,915.55
  5. Step 5: Solve for x
    x = 97,040,915.55/10,602.90
  6. Step 6: Final answer
    x = 9,152.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.