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Finding the Fourth Proportional to 10,649.90, 14,696.92 and 6,176.31

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Solution

The fourth proportional to 10,649.90, 14,696.92 and 6,176.31 is: 8,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.90 : 14,696.92 = 6,176.31 : x
  2. Step 2: Convert to fraction form
    10,649.90/14,696.92 = 6,176.31/x
  3. Step 3: Cross multiply
    10,649.90x = 14,696.92 × 6,176.31
  4. Step 4: Simplify right side
    10,649.90x = 90,772,675.92
  5. Step 5: Solve for x
    x = 90,772,675.92/10,649.90
  6. Step 6: Final answer
    x = 8,523.34

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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.