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Finding the Fourth Proportional to 9,714.92, 14,572.46 and 4,524.52

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Solution

The fourth proportional to 9,714.92, 14,572.46 and 4,524.52 is: 6,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.92 : 14,572.46 = 4,524.52 : x
  2. Step 2: Convert to fraction form
    9,714.92/14,572.46 = 4,524.52/x
  3. Step 3: Cross multiply
    9,714.92x = 14,572.46 × 4,524.52
  4. Step 4: Simplify right side
    9,714.92x = 65,933,386.72
  5. Step 5: Solve for x
    x = 65,933,386.72/9,714.92
  6. Step 6: Final answer
    x = 6,786.82

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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.