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Finding the Fourth Proportional to 35,964, 53,946 and 11,340

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Solution

The fourth proportional to 35,964, 53,946 and 11,340 is: 17,010

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,964 : 53,946 = 11,340 : x
  2. Step 2: Convert to fraction form
    35,964/53,946 = 11,340/x
  3. Step 3: Cross multiply
    35,964x = 53,946 × 11,340
  4. Step 4: Simplify right side
    35,964x = 611,747,640
  5. Step 5: Solve for x
    x = 611,747,640/35,964
  6. Step 6: Final answer
    x = 17,010

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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.