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Finding the Fourth Proportional to 35,972.76, 53,959.20 and 9,676.80

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Solution

The fourth proportional to 35,972.76, 53,959.20 and 9,676.80 is: 14,515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,972.76 : 53,959.20 = 9,676.80 : x
  2. Step 2: Convert to fraction form
    35,972.76/53,959.20 = 9,676.80/x
  3. Step 3: Cross multiply
    35,972.76x = 53,959.20 × 9,676.80
  4. Step 4: Simplify right side
    35,972.76x = 522,152,386.56
  5. Step 5: Solve for x
    x = 522,152,386.56/35,972.76
  6. Step 6: Final answer
    x = 14,515.22

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1.5x scale

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.