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Finding the Fourth Proportional to 15,389.66, 21,233.01 and 9,415.10

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Solution

The fourth proportional to 15,389.66, 21,233.01 and 9,415.10 is: 12,989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,389.66 : 21,233.01 = 9,415.10 : x
  2. Step 2: Convert to fraction form
    15,389.66/21,233.01 = 9,415.10/x
  3. Step 3: Cross multiply
    15,389.66x = 21,233.01 × 9,415.10
  4. Step 4: Simplify right side
    15,389.66x = 199,910,912.45
  5. Step 5: Solve for x
    x = 199,910,912.45/15,389.66
  6. Step 6: Final answer
    x = 12,989.95

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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.