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Finding the Fourth Proportional to 6,528.14, 9,792.14 and 1,597.84

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Solution

The fourth proportional to 6,528.14, 9,792.14 and 1,597.84 is: 2,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.14 : 9,792.14 = 1,597.84 : x
  2. Step 2: Convert to fraction form
    6,528.14/9,792.14 = 1,597.84/x
  3. Step 3: Cross multiply
    6,528.14x = 9,792.14 × 1,597.84
  4. Step 4: Simplify right side
    6,528.14x = 15,646,272.98
  5. Step 5: Solve for x
    x = 15,646,272.98/6,528.14
  6. Step 6: Final answer
    x = 2,396.74

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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.