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Finding the Fourth Proportional to 14,637, 21,955.50 and 6,851.28

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Solution

The fourth proportional to 14,637, 21,955.50 and 6,851.28 is: 10,276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,637 : 21,955.50 = 6,851.28 : x
  2. Step 2: Convert to fraction form
    14,637/21,955.50 = 6,851.28/x
  3. Step 3: Cross multiply
    14,637x = 21,955.50 × 6,851.28
  4. Step 4: Simplify right side
    14,637x = 150,423,278.04
  5. Step 5: Solve for x
    x = 150,423,278.04/14,637
  6. Step 6: Final answer
    x = 10,276.92

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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.