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Finding the Fourth Proportional to 7,170.71, 9,893.88 and 4,652.01

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Solution

The fourth proportional to 7,170.71, 9,893.88 and 4,652.01 is: 6,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.71 : 9,893.88 = 4,652.01 : x
  2. Step 2: Convert to fraction form
    7,170.71/9,893.88 = 4,652.01/x
  3. Step 3: Cross multiply
    7,170.71x = 9,893.88 × 4,652.01
  4. Step 4: Simplify right side
    7,170.71x = 46,026,428.70
  5. Step 5: Solve for x
    x = 46,026,428.70/7,170.71
  6. Step 6: Final answer
    x = 6,418.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.