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Finding the Fourth Proportional to 14,197.56, 21,303.54 and 6,404.64

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Solution

The fourth proportional to 14,197.56, 21,303.54 and 6,404.64 is: 9,610.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.56 : 21,303.54 = 6,404.64 : x
  2. Step 2: Convert to fraction form
    14,197.56/21,303.54 = 6,404.64/x
  3. Step 3: Cross multiply
    14,197.56x = 21,303.54 × 6,404.64
  4. Step 4: Simplify right side
    14,197.56x = 136,441,504.43
  5. Step 5: Solve for x
    x = 136,441,504.43/14,197.56
  6. Step 6: Final answer
    x = 9,610.21

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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.