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Finding the Fourth Proportional to 27,224.64, 40,826.88 and 9,689.76

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Solution

The fourth proportional to 27,224.64, 40,826.88 and 9,689.76 is: 14,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,224.64 : 40,826.88 = 9,689.76 : x
  2. Step 2: Convert to fraction form
    27,224.64/40,826.88 = 9,689.76/x
  3. Step 3: Cross multiply
    27,224.64x = 40,826.88 × 9,689.76
  4. Step 4: Simplify right side
    27,224.64x = 395,602,668.75
  5. Step 5: Solve for x
    x = 395,602,668.75/27,224.64
  6. Step 6: Final answer
    x = 14,531.05

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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.