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Finding the Fourth Proportional to 10,624, 14,660.64 and 6,377.58

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Solution

The fourth proportional to 10,624, 14,660.64 and 6,377.58 is: 8,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624 : 14,660.64 = 6,377.58 : x
  2. Step 2: Convert to fraction form
    10,624/14,660.64 = 6,377.58/x
  3. Step 3: Cross multiply
    10,624x = 14,660.64 × 6,377.58
  4. Step 4: Simplify right side
    10,624x = 93,499,404.45
  5. Step 5: Solve for x
    x = 93,499,404.45/10,624
  6. Step 6: Final answer
    x = 8,800.77

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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.