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Finding the Fourth Proportional to 9,626.56, 13,292.16 and 7,536.64

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Solution

The fourth proportional to 9,626.56, 13,292.16 and 7,536.64 is: 10,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.56 : 13,292.16 = 7,536.64 : x
  2. Step 2: Convert to fraction form
    9,626.56/13,292.16 = 7,536.64/x
  3. Step 3: Cross multiply
    9,626.56x = 13,292.16 × 7,536.64
  4. Step 4: Simplify right side
    9,626.56x = 100,178,224.74
  5. Step 5: Solve for x
    x = 100,178,224.74/9,626.56
  6. Step 6: Final answer
    x = 10,406.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.