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Finding the Fourth Proportional to 35,975.76, 53,963.46 and 9,678.36

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Solution

The fourth proportional to 35,975.76, 53,963.46 and 9,678.36 is: 14,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,975.76 : 53,963.46 = 9,678.36 : x
  2. Step 2: Convert to fraction form
    35,975.76/53,963.46 = 9,678.36/x
  3. Step 3: Cross multiply
    35,975.76x = 53,963.46 × 9,678.36
  4. Step 4: Simplify right side
    35,975.76x = 522,277,792.73
  5. Step 5: Solve for x
    x = 522,277,792.73/35,975.76
  6. Step 6: Final answer
    x = 14,517.49

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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.