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Finding the Fourth Proportional to 11,652.81, 16,083.54 and 7,612.53

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Solution

The fourth proportional to 11,652.81, 16,083.54 and 7,612.53 is: 10,507.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.81 : 16,083.54 = 7,612.53 : x
  2. Step 2: Convert to fraction form
    11,652.81/16,083.54 = 7,612.53/x
  3. Step 3: Cross multiply
    11,652.81x = 16,083.54 × 7,612.53
  4. Step 4: Simplify right side
    11,652.81x = 122,436,430.76
  5. Step 5: Solve for x
    x = 122,436,430.76/11,652.81
  6. Step 6: Final answer
    x = 10,507.03

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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.