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Finding the Fourth Proportional to 6,851.10, 10,276.65 and 4,971.90

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Solution

The fourth proportional to 6,851.10, 10,276.65 and 4,971.90 is: 7,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.10 : 10,276.65 = 4,971.90 : x
  2. Step 2: Convert to fraction form
    6,851.10/10,276.65 = 4,971.90/x
  3. Step 3: Cross multiply
    6,851.10x = 10,276.65 × 4,971.90
  4. Step 4: Simplify right side
    6,851.10x = 51,094,476.14
  5. Step 5: Solve for x
    x = 51,094,476.14/6,851.10
  6. Step 6: Final answer
    x = 7,457.85

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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.