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Finding the Fourth Proportional to 9,100.10, 13,645.52 and 4,165.51

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Solution

The fourth proportional to 9,100.10, 13,645.52 and 4,165.51 is: 6,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.10 : 13,645.52 = 4,165.51 : x
  2. Step 2: Convert to fraction form
    9,100.10/13,645.52 = 4,165.51/x
  3. Step 3: Cross multiply
    9,100.10x = 13,645.52 × 4,165.51
  4. Step 4: Simplify right side
    9,100.10x = 56,840,550.02
  5. Step 5: Solve for x
    x = 56,840,550.02/9,100.10
  6. Step 6: Final answer
    x = 6,246.15

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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.