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Finding the Fourth Proportional to 6,064.84, 9,097.22 and 1,904.84

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Solution

The fourth proportional to 6,064.84, 9,097.22 and 1,904.84 is: 2,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.84 : 9,097.22 = 1,904.84 : x
  2. Step 2: Convert to fraction form
    6,064.84/9,097.22 = 1,904.84/x
  3. Step 3: Cross multiply
    6,064.84x = 9,097.22 × 1,904.84
  4. Step 4: Simplify right side
    6,064.84x = 17,328,739.02
  5. Step 5: Solve for x
    x = 17,328,739.02/6,064.84
  6. Step 6: Final answer
    x = 2,857.25

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Similar ratio
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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.