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Finding the Fourth Proportional to 9,734.60, 14,601.90 and 7,430.60

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Solution

The fourth proportional to 9,734.60, 14,601.90 and 7,430.60 is: 11,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.60 : 14,601.90 = 7,430.60 : x
  2. Step 2: Convert to fraction form
    9,734.60/14,601.90 = 7,430.60/x
  3. Step 3: Cross multiply
    9,734.60x = 14,601.90 × 7,430.60
  4. Step 4: Simplify right side
    9,734.60x = 108,500,878.14
  5. Step 5: Solve for x
    x = 108,500,878.14/9,734.60
  6. Step 6: Final answer
    x = 11,145.90

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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.