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Finding the Fourth Proportional to 9,566.88, 14,256.42 and 9,253.68

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Solution

The fourth proportional to 9,566.88, 14,256.42 and 9,253.68 is: 13,789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.88 : 14,256.42 = 9,253.68 : x
  2. Step 2: Convert to fraction form
    9,566.88/14,256.42 = 9,253.68/x
  3. Step 3: Cross multiply
    9,566.88x = 14,256.42 × 9,253.68
  4. Step 4: Simplify right side
    9,566.88x = 131,924,348.63
  5. Step 5: Solve for x
    x = 131,924,348.63/9,566.88
  6. Step 6: Final answer
    x = 13,789.69

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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.