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Finding the Fourth Proportional to 27,316.34, 40,978.82 and 9,785.78

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Solution

The fourth proportional to 27,316.34, 40,978.82 and 9,785.78 is: 14,680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,316.34 : 40,978.82 = 9,785.78 : x
  2. Step 2: Convert to fraction form
    27,316.34/40,978.82 = 9,785.78/x
  3. Step 3: Cross multiply
    27,316.34x = 40,978.82 × 9,785.78
  4. Step 4: Simplify right side
    27,316.34x = 401,009,717.18
  5. Step 5: Solve for x
    x = 401,009,717.18/27,316.34
  6. Step 6: Final answer
    x = 14,680.21

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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.