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Finding the Fourth Proportional to 14,000.70, 20,968.65 and 9,594.30

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Solution

The fourth proportional to 14,000.70, 20,968.65 and 9,594.30 is: 14,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.70 : 20,968.65 = 9,594.30 : x
  2. Step 2: Convert to fraction form
    14,000.70/20,968.65 = 9,594.30/x
  3. Step 3: Cross multiply
    14,000.70x = 20,968.65 × 9,594.30
  4. Step 4: Simplify right side
    14,000.70x = 201,179,518.70
  5. Step 5: Solve for x
    x = 201,179,518.70/14,000.70
  6. Step 6: Final answer
    x = 14,369.25

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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.