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Finding the Fourth Proportional to 6,454.06, 9,681.12 and 1,774.14

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Solution

The fourth proportional to 6,454.06, 9,681.12 and 1,774.14 is: 2,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.06 : 9,681.12 = 1,774.14 : x
  2. Step 2: Convert to fraction form
    6,454.06/9,681.12 = 1,774.14/x
  3. Step 3: Cross multiply
    6,454.06x = 9,681.12 × 1,774.14
  4. Step 4: Simplify right side
    6,454.06x = 17,175,662.24
  5. Step 5: Solve for x
    x = 17,175,662.24/6,454.06
  6. Step 6: Final answer
    x = 2,661.22

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Double scale
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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.