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Finding the Fourth Proportional to 14,003.58, 21,005.98 and 6,514.16

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Solution

The fourth proportional to 14,003.58, 21,005.98 and 6,514.16 is: 9,771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,003.58 : 21,005.98 = 6,514.16 : x
  2. Step 2: Convert to fraction form
    14,003.58/21,005.98 = 6,514.16/x
  3. Step 3: Cross multiply
    14,003.58x = 21,005.98 × 6,514.16
  4. Step 4: Simplify right side
    14,003.58x = 136,836,314.68
  5. Step 5: Solve for x
    x = 136,836,314.68/14,003.58
  6. Step 6: Final answer
    x = 9,771.52

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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.