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Finding the Fourth Proportional to 9,138.06, 13,707.90 and 7,059.60

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Solution

The fourth proportional to 9,138.06, 13,707.90 and 7,059.60 is: 10,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.06 : 13,707.90 = 7,059.60 : x
  2. Step 2: Convert to fraction form
    9,138.06/13,707.90 = 7,059.60/x
  3. Step 3: Cross multiply
    9,138.06x = 13,707.90 × 7,059.60
  4. Step 4: Simplify right side
    9,138.06x = 96,772,290.84
  5. Step 5: Solve for x
    x = 96,772,290.84/9,138.06
  6. Step 6: Final answer
    x = 10,590.03

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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.