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Finding the Fourth Proportional to 10,295, 15,463.16 and 6,143.11

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Solution

The fourth proportional to 10,295, 15,463.16 and 6,143.11 is: 9,226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295 : 15,463.16 = 6,143.11 : x
  2. Step 2: Convert to fraction form
    10,295/15,463.16 = 6,143.11/x
  3. Step 3: Cross multiply
    10,295x = 15,463.16 × 6,143.11
  4. Step 4: Simplify right side
    10,295x = 94,991,892.83
  5. Step 5: Solve for x
    x = 94,991,892.83/10,295
  6. Step 6: Final answer
    x = 9,226.99

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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.