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Finding the Fourth Proportional to 9,447.74, 14,159.28 and 3,894.74

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Solution

The fourth proportional to 9,447.74, 14,159.28 and 3,894.74 is: 5,837.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.74 : 14,159.28 = 3,894.74 : x
  2. Step 2: Convert to fraction form
    9,447.74/14,159.28 = 3,894.74/x
  3. Step 3: Cross multiply
    9,447.74x = 14,159.28 × 3,894.74
  4. Step 4: Simplify right side
    9,447.74x = 55,146,714.19
  5. Step 5: Solve for x
    x = 55,146,714.19/9,447.74
  6. Step 6: Final answer
    x = 5,837.03

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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.