Home / 10,442-14,411.18-5,966.40

Finding the Fourth Proportional to 10,442, 14,411.18 and 5,966.40

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Solution

The fourth proportional to 10,442, 14,411.18 and 5,966.40 is: 8,234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442 : 14,411.18 = 5,966.40 : x
  2. Step 2: Convert to fraction form
    10,442/14,411.18 = 5,966.40/x
  3. Step 3: Cross multiply
    10,442x = 14,411.18 × 5,966.40
  4. Step 4: Simplify right side
    10,442x = 85,982,864.35
  5. Step 5: Solve for x
    x = 85,982,864.35/10,442
  6. Step 6: Final answer
    x = 8,234.33

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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.