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Finding the Fourth Proportional to 10,411.03, 15,614.95 and 4,169.42

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Solution

The fourth proportional to 10,411.03, 15,614.95 and 4,169.42 is: 6,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.03 : 15,614.95 = 4,169.42 : x
  2. Step 2: Convert to fraction form
    10,411.03/15,614.95 = 4,169.42/x
  3. Step 3: Cross multiply
    10,411.03x = 15,614.95 × 4,169.42
  4. Step 4: Simplify right side
    10,411.03x = 65,105,362.27
  5. Step 5: Solve for x
    x = 65,105,362.27/10,411.03
  6. Step 6: Final answer
    x = 6,253.50

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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.