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Finding the Fourth Proportional to 10,465.61, 15,698.39 and 2,674.40

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Solution

The fourth proportional to 10,465.61, 15,698.39 and 2,674.40 is: 4,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.61 : 15,698.39 = 2,674.40 : x
  2. Step 2: Convert to fraction form
    10,465.61/15,698.39 = 2,674.40/x
  3. Step 3: Cross multiply
    10,465.61x = 15,698.39 × 2,674.40
  4. Step 4: Simplify right side
    10,465.61x = 41,983,682.35
  5. Step 5: Solve for x
    x = 41,983,682.35/10,465.61
  6. Step 6: Final answer
    x = 4,011.59

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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.