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Finding the Fourth Proportional to 9,671.43, 14,506.43 and 4,406.22

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Solution

The fourth proportional to 9,671.43, 14,506.43 and 4,406.22 is: 6,609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.43 : 14,506.43 = 4,406.22 : x
  2. Step 2: Convert to fraction form
    9,671.43/14,506.43 = 4,406.22/x
  3. Step 3: Cross multiply
    9,671.43x = 14,506.43 × 4,406.22
  4. Step 4: Simplify right side
    9,671.43x = 63,918,499.96
  5. Step 5: Solve for x
    x = 63,918,499.96/9,671.43
  6. Step 6: Final answer
    x = 6,609.00

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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.