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Finding the Fourth Proportional to 9,610.88, 14,348.80 and 8,224.64

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Solution

The fourth proportional to 9,610.88, 14,348.80 and 8,224.64 is: 12,279.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.88 : 14,348.80 = 8,224.64 : x
  2. Step 2: Convert to fraction form
    9,610.88/14,348.80 = 8,224.64/x
  3. Step 3: Cross multiply
    9,610.88x = 14,348.80 × 8,224.64
  4. Step 4: Simplify right side
    9,610.88x = 118,013,714.43
  5. Step 5: Solve for x
    x = 118,013,714.43/9,610.88
  6. Step 6: Final answer
    x = 12,279.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.