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Finding the Fourth Proportional to 35,160, 52,740 and 10,536

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Solution

The fourth proportional to 35,160, 52,740 and 10,536 is: 15,804

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,160 : 52,740 = 10,536 : x
  2. Step 2: Convert to fraction form
    35,160/52,740 = 10,536/x
  3. Step 3: Cross multiply
    35,160x = 52,740 × 10,536
  4. Step 4: Simplify right side
    35,160x = 555,668,640
  5. Step 5: Solve for x
    x = 555,668,640/35,160
  6. Step 6: Final answer
    x = 15,804

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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.