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Finding the Fourth Proportional to 16,589.16, 22,892.34 and 9,510.64

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Solution

The fourth proportional to 16,589.16, 22,892.34 and 9,510.64 is: 13,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.16 : 22,892.34 = 9,510.64 : x
  2. Step 2: Convert to fraction form
    16,589.16/22,892.34 = 9,510.64/x
  3. Step 3: Cross multiply
    16,589.16x = 22,892.34 × 9,510.64
  4. Step 4: Simplify right side
    16,589.16x = 217,720,804.50
  5. Step 5: Solve for x
    x = 217,720,804.50/16,589.16
  6. Step 6: Final answer
    x = 13,124.28

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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.