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Finding the Fourth Proportional to 10,802.70, 16,204.05 and 10,146.60

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Solution

The fourth proportional to 10,802.70, 16,204.05 and 10,146.60 is: 15,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.70 : 16,204.05 = 10,146.60 : x
  2. Step 2: Convert to fraction form
    10,802.70/16,204.05 = 10,146.60/x
  3. Step 3: Cross multiply
    10,802.70x = 16,204.05 × 10,146.60
  4. Step 4: Simplify right side
    10,802.70x = 164,416,013.73
  5. Step 5: Solve for x
    x = 164,416,013.73/10,802.70
  6. Step 6: Final answer
    x = 15,219.90

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1.5x scale

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.