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Finding the Fourth Proportional to 6,534.08, 9,800.16 and 1,915.84

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Solution

The fourth proportional to 6,534.08, 9,800.16 and 1,915.84 is: 2,873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.08 : 9,800.16 = 1,915.84 : x
  2. Step 2: Convert to fraction form
    6,534.08/9,800.16 = 1,915.84/x
  3. Step 3: Cross multiply
    6,534.08x = 9,800.16 × 1,915.84
  4. Step 4: Simplify right side
    6,534.08x = 18,775,538.53
  5. Step 5: Solve for x
    x = 18,775,538.53/6,534.08
  6. Step 6: Final answer
    x = 2,873.48

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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.