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Finding the Fourth Proportional to 9,614.90, 14,410.20 and 7,014.80

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Solution

The fourth proportional to 9,614.90, 14,410.20 and 7,014.80 is: 10,513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.90 : 14,410.20 = 7,014.80 : x
  2. Step 2: Convert to fraction form
    9,614.90/14,410.20 = 7,014.80/x
  3. Step 3: Cross multiply
    9,614.90x = 14,410.20 × 7,014.80
  4. Step 4: Simplify right side
    9,614.90x = 101,084,670.96
  5. Step 5: Solve for x
    x = 101,084,670.96/9,614.90
  6. Step 6: Final answer
    x = 10,513.34

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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.