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Finding the Fourth Proportional to 6,528.34, 9,026.84 and 6,422.84

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Solution

The fourth proportional to 6,528.34, 9,026.84 and 6,422.84 is: 8,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.34 : 9,026.84 = 6,422.84 : x
  2. Step 2: Convert to fraction form
    6,528.34/9,026.84 = 6,422.84/x
  3. Step 3: Cross multiply
    6,528.34x = 9,026.84 × 6,422.84
  4. Step 4: Simplify right side
    6,528.34x = 57,977,949.03
  5. Step 5: Solve for x
    x = 57,977,949.03/6,528.34
  6. Step 6: Final answer
    x = 8,880.96

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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.