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Finding the Fourth Proportional to 9,853.80, 14,780.82 and 6,543.24

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Solution

The fourth proportional to 9,853.80, 14,780.82 and 6,543.24 is: 9,814.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.80 : 14,780.82 = 6,543.24 : x
  2. Step 2: Convert to fraction form
    9,853.80/14,780.82 = 6,543.24/x
  3. Step 3: Cross multiply
    9,853.80x = 14,780.82 × 6,543.24
  4. Step 4: Simplify right side
    9,853.80x = 96,714,452.66
  5. Step 5: Solve for x
    x = 96,714,452.66/9,853.80
  6. Step 6: Final answer
    x = 9,814.94

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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.