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Finding the Fourth Proportional to 7,284.63, 10,052.78 and 3,972.63

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Solution

The fourth proportional to 7,284.63, 10,052.78 and 3,972.63 is: 5,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.63 : 10,052.78 = 3,972.63 : x
  2. Step 2: Convert to fraction form
    7,284.63/10,052.78 = 3,972.63/x
  3. Step 3: Cross multiply
    7,284.63x = 10,052.78 × 3,972.63
  4. Step 4: Simplify right side
    7,284.63x = 39,935,975.41
  5. Step 5: Solve for x
    x = 39,935,975.41/7,284.63
  6. Step 6: Final answer
    x = 5,482.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.