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Finding the Fourth Proportional to 12,636, 18,962.64 and 4,428

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Solution

The fourth proportional to 12,636, 18,962.64 and 4,428 is: 6,645.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636 : 18,962.64 = 4,428 : x
  2. Step 2: Convert to fraction form
    12,636/18,962.64 = 4,428/x
  3. Step 3: Cross multiply
    12,636x = 18,962.64 × 4,428
  4. Step 4: Simplify right side
    12,636x = 83,966,569.92
  5. Step 5: Solve for x
    x = 83,966,569.92/12,636
  6. Step 6: Final answer
    x = 6,645.03

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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.