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Finding the Fourth Proportional to 6,991.96, 9,652.90 and 4,637.30

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Solution

The fourth proportional to 6,991.96, 9,652.90 and 4,637.30 is: 6,402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.96 : 9,652.90 = 4,637.30 : x
  2. Step 2: Convert to fraction form
    6,991.96/9,652.90 = 4,637.30/x
  3. Step 3: Cross multiply
    6,991.96x = 9,652.90 × 4,637.30
  4. Step 4: Simplify right side
    6,991.96x = 44,763,393.17
  5. Step 5: Solve for x
    x = 44,763,393.17/6,991.96
  6. Step 6: Final answer
    x = 6,402.12

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1.5x scale

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.