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Finding the Fourth Proportional to 3,136.86, 4,706.10 and 1,406.16

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Solution

The fourth proportional to 3,136.86, 4,706.10 and 1,406.16 is: 2,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.86 : 4,706.10 = 1,406.16 : x
  2. Step 2: Convert to fraction form
    3,136.86/4,706.10 = 1,406.16/x
  3. Step 3: Cross multiply
    3,136.86x = 4,706.10 × 1,406.16
  4. Step 4: Simplify right side
    3,136.86x = 6,617,529.58
  5. Step 5: Solve for x
    x = 6,617,529.58/3,136.86
  6. Step 6: Final answer
    x = 2,109.60

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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.