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Finding the Fourth Proportional to 3,506.10, 5,259.15 and 3,074.10

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Solution

The fourth proportional to 3,506.10, 5,259.15 and 3,074.10 is: 4,611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.10 : 5,259.15 = 3,074.10 : x
  2. Step 2: Convert to fraction form
    3,506.10/5,259.15 = 3,074.10/x
  3. Step 3: Cross multiply
    3,506.10x = 5,259.15 × 3,074.10
  4. Step 4: Simplify right side
    3,506.10x = 16,167,153.02
  5. Step 5: Solve for x
    x = 16,167,153.02/3,506.10
  6. Step 6: Final answer
    x = 4,611.15

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Half scale
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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.