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Finding the Fourth Proportional to 10,342.76, 15,506.03 and 5,411.48

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Solution

The fourth proportional to 10,342.76, 15,506.03 and 5,411.48 is: 8,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.76 : 15,506.03 = 5,411.48 : x
  2. Step 2: Convert to fraction form
    10,342.76/15,506.03 = 5,411.48/x
  3. Step 3: Cross multiply
    10,342.76x = 15,506.03 × 5,411.48
  4. Step 4: Simplify right side
    10,342.76x = 83,910,507.22
  5. Step 5: Solve for x
    x = 83,910,507.22/10,342.76
  6. Step 6: Final answer
    x = 8,112.97

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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.