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Finding the Fourth Proportional to 6,540.84, 9,810.90 and 1,610.46

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Solution

The fourth proportional to 6,540.84, 9,810.90 and 1,610.46 is: 2,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.84 : 9,810.90 = 1,610.46 : x
  2. Step 2: Convert to fraction form
    6,540.84/9,810.90 = 1,610.46/x
  3. Step 3: Cross multiply
    6,540.84x = 9,810.90 × 1,610.46
  4. Step 4: Simplify right side
    6,540.84x = 15,800,062.01
  5. Step 5: Solve for x
    x = 15,800,062.01/6,540.84
  6. Step 6: Final answer
    x = 2,415.60

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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.