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Finding the Fourth Proportional to 11,459.98, 15,812.92 and 6,424.11

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Solution

The fourth proportional to 11,459.98, 15,812.92 and 6,424.11 is: 8,864.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.98 : 15,812.92 = 6,424.11 : x
  2. Step 2: Convert to fraction form
    11,459.98/15,812.92 = 6,424.11/x
  3. Step 3: Cross multiply
    11,459.98x = 15,812.92 × 6,424.11
  4. Step 4: Simplify right side
    11,459.98x = 101,583,945.53
  5. Step 5: Solve for x
    x = 101,583,945.53/11,459.98
  6. Step 6: Final answer
    x = 8,864.23

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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.