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Finding the Fourth Proportional to 9,921.70, 13,691.76 and 5,445.50

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Solution

The fourth proportional to 9,921.70, 13,691.76 and 5,445.50 is: 7,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.70 : 13,691.76 = 5,445.50 : x
  2. Step 2: Convert to fraction form
    9,921.70/13,691.76 = 5,445.50/x
  3. Step 3: Cross multiply
    9,921.70x = 13,691.76 × 5,445.50
  4. Step 4: Simplify right side
    9,921.70x = 74,558,479.08
  5. Step 5: Solve for x
    x = 74,558,479.08/9,921.70
  6. Step 6: Final answer
    x = 7,514.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.