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Finding the Fourth Proportional to 3,106.60, 4,230.16 and 3,106.60

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Solution

The fourth proportional to 3,106.60, 4,230.16 and 3,106.60 is: 4,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.60 : 4,230.16 = 3,106.60 : x
  2. Step 2: Convert to fraction form
    3,106.60/4,230.16 = 3,106.60/x
  3. Step 3: Cross multiply
    3,106.60x = 4,230.16 × 3,106.60
  4. Step 4: Simplify right side
    3,106.60x = 13,141,415.06
  5. Step 5: Solve for x
    x = 13,141,415.06/3,106.60
  6. Step 6: Final answer
    x = 4,230.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.