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Finding the Fourth Proportional to 9,096.36, 13,626.48 and 7,009.13

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Solution

The fourth proportional to 9,096.36, 13,626.48 and 7,009.13 is: 10,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.36 : 13,626.48 = 7,009.13 : x
  2. Step 2: Convert to fraction form
    9,096.36/13,626.48 = 7,009.13/x
  3. Step 3: Cross multiply
    9,096.36x = 13,626.48 × 7,009.13
  4. Step 4: Simplify right side
    9,096.36x = 95,509,701.63
  5. Step 5: Solve for x
    x = 95,509,701.63/9,096.36
  6. Step 6: Final answer
    x = 10,499.77

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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.