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Finding the Fourth Proportional to 10,645.62, 15,968.43 and 4,946.01

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Solution

The fourth proportional to 10,645.62, 15,968.43 and 4,946.01 is: 7,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.62 : 15,968.43 = 4,946.01 : x
  2. Step 2: Convert to fraction form
    10,645.62/15,968.43 = 4,946.01/x
  3. Step 3: Cross multiply
    10,645.62x = 15,968.43 × 4,946.01
  4. Step 4: Simplify right side
    10,645.62x = 78,980,014.46
  5. Step 5: Solve for x
    x = 78,980,014.46/10,645.62
  6. Step 6: Final answer
    x = 7,419.02

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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.