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Finding the Fourth Proportional to 10,310, 15,467.56 and 3,014

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Solution

The fourth proportional to 10,310, 15,467.56 and 3,014 is: 4,521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310 : 15,467.56 = 3,014 : x
  2. Step 2: Convert to fraction form
    10,310/15,467.56 = 3,014/x
  3. Step 3: Cross multiply
    10,310x = 15,467.56 × 3,014
  4. Step 4: Simplify right side
    10,310x = 46,619,225.84
  5. Step 5: Solve for x
    x = 46,619,225.84/10,310
  6. Step 6: Final answer
    x = 4,521.75

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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.