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Finding the Fourth Proportional to 27,049, 40,573.66 and 7,326.12

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Solution

The fourth proportional to 27,049, 40,573.66 and 7,326.12 is: 10,989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,049 : 40,573.66 = 7,326.12 : x
  2. Step 2: Convert to fraction form
    27,049/40,573.66 = 7,326.12/x
  3. Step 3: Cross multiply
    27,049x = 40,573.66 × 7,326.12
  4. Step 4: Simplify right side
    27,049x = 297,247,502.00
  5. Step 5: Solve for x
    x = 297,247,502.00/27,049
  6. Step 6: Final answer
    x = 10,989.22

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Half scale
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Double scale
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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.