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Finding the Fourth Proportional to 6,971.52, 10,457.04 and 3,271.68

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Solution

The fourth proportional to 6,971.52, 10,457.04 and 3,271.68 is: 4,907.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.52 : 10,457.04 = 3,271.68 : x
  2. Step 2: Convert to fraction form
    6,971.52/10,457.04 = 3,271.68/x
  3. Step 3: Cross multiply
    6,971.52x = 10,457.04 × 3,271.68
  4. Step 4: Simplify right side
    6,971.52x = 34,212,088.63
  5. Step 5: Solve for x
    x = 34,212,088.63/6,971.52
  6. Step 6: Final answer
    x = 4,907.41

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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.