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Finding the Fourth Proportional to 10,541.94, 15,812.92 and 9,900.42

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Solution

The fourth proportional to 10,541.94, 15,812.92 and 9,900.42 is: 14,850.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541.94 : 15,812.92 = 9,900.42 : x
  2. Step 2: Convert to fraction form
    10,541.94/15,812.92 = 9,900.42/x
  3. Step 3: Cross multiply
    10,541.94x = 15,812.92 × 9,900.42
  4. Step 4: Simplify right side
    10,541.94x = 156,554,549.43
  5. Step 5: Solve for x
    x = 156,554,549.43/10,541.94
  6. Step 6: Final answer
    x = 14,850.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.