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Finding the Fourth Proportional to 10,999.38, 15,175.64 and 6,746.07

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Solution

The fourth proportional to 10,999.38, 15,175.64 and 6,746.07 is: 9,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.38 : 15,175.64 = 6,746.07 : x
  2. Step 2: Convert to fraction form
    10,999.38/15,175.64 = 6,746.07/x
  3. Step 3: Cross multiply
    10,999.38x = 15,175.64 × 6,746.07
  4. Step 4: Simplify right side
    10,999.38x = 102,375,946.60
  5. Step 5: Solve for x
    x = 102,375,946.60/10,999.38
  6. Step 6: Final answer
    x = 9,307.43

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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.