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Finding the Fourth Proportional to 7,284.56, 10,052.76 and 3,972.56

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Solution

The fourth proportional to 7,284.56, 10,052.76 and 3,972.56 is: 5,482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.56 : 10,052.76 = 3,972.56 : x
  2. Step 2: Convert to fraction form
    7,284.56/10,052.76 = 3,972.56/x
  3. Step 3: Cross multiply
    7,284.56x = 10,052.76 × 3,972.56
  4. Step 4: Simplify right side
    7,284.56x = 39,935,192.27
  5. Step 5: Solve for x
    x = 39,935,192.27/7,284.56
  6. Step 6: Final answer
    x = 5,482.17

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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.