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Finding the Fourth Proportional to 27,101.58, 40,643.25 and 9,086.16

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Solution

The fourth proportional to 27,101.58, 40,643.25 and 9,086.16 is: 13,626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,101.58 : 40,643.25 = 9,086.16 : x
  2. Step 2: Convert to fraction form
    27,101.58/40,643.25 = 9,086.16/x
  3. Step 3: Cross multiply
    27,101.58x = 40,643.25 × 9,086.16
  4. Step 4: Simplify right side
    27,101.58x = 369,291,072.42
  5. Step 5: Solve for x
    x = 369,291,072.42/27,101.58
  6. Step 6: Final answer
    x = 13,626.18

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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.