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Finding the Fourth Proportional to 10,802.70, 16,204.05 and 9,964.35

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Solution

The fourth proportional to 10,802.70, 16,204.05 and 9,964.35 is: 14,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.70 : 16,204.05 = 9,964.35 : x
  2. Step 2: Convert to fraction form
    10,802.70/16,204.05 = 9,964.35/x
  3. Step 3: Cross multiply
    10,802.70x = 16,204.05 × 9,964.35
  4. Step 4: Simplify right side
    10,802.70x = 161,462,825.62
  5. Step 5: Solve for x
    x = 161,462,825.62/10,802.70
  6. Step 6: Final answer
    x = 14,946.53

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Similar ratio
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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.