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Finding the Fourth Proportional to 6,528.42, 9,792.63 and 2,828.76

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Solution

The fourth proportional to 6,528.42, 9,792.63 and 2,828.76 is: 4,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.42 : 9,792.63 = 2,828.76 : x
  2. Step 2: Convert to fraction form
    6,528.42/9,792.63 = 2,828.76/x
  3. Step 3: Cross multiply
    6,528.42x = 9,792.63 × 2,828.76
  4. Step 4: Simplify right side
    6,528.42x = 27,701,000.04
  5. Step 5: Solve for x
    x = 27,701,000.04/6,528.42
  6. Step 6: Final answer
    x = 4,243.14

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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.