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Finding the Fourth Proportional to 9,419.70, 14,129.55 and 6,114.90

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Solution

The fourth proportional to 9,419.70, 14,129.55 and 6,114.90 is: 9,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.70 : 14,129.55 = 6,114.90 : x
  2. Step 2: Convert to fraction form
    9,419.70/14,129.55 = 6,114.90/x
  3. Step 3: Cross multiply
    9,419.70x = 14,129.55 × 6,114.90
  4. Step 4: Simplify right side
    9,419.70x = 86,400,785.30
  5. Step 5: Solve for x
    x = 86,400,785.30/9,419.70
  6. Step 6: Final answer
    x = 9,172.35

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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.