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Finding the Fourth Proportional to 15,650.68, 23,476.88 and 3,964

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Solution

The fourth proportional to 15,650.68, 23,476.88 and 3,964 is: 5,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,650.68 : 23,476.88 = 3,964 : x
  2. Step 2: Convert to fraction form
    15,650.68/23,476.88 = 3,964/x
  3. Step 3: Cross multiply
    15,650.68x = 23,476.88 × 3,964
  4. Step 4: Simplify right side
    15,650.68x = 93,062,332.50
  5. Step 5: Solve for x
    x = 93,062,332.50/15,650.68
  6. Step 6: Final answer
    x = 5,946.22

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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.