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Finding the Fourth Proportional to 9,297.72, 12,829.32 and 5,318.46

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Solution

The fourth proportional to 9,297.72, 12,829.32 and 5,318.46 is: 7,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.72 : 12,829.32 = 5,318.46 : x
  2. Step 2: Convert to fraction form
    9,297.72/12,829.32 = 5,318.46/x
  3. Step 3: Cross multiply
    9,297.72x = 12,829.32 × 5,318.46
  4. Step 4: Simplify right side
    9,297.72x = 68,232,225.25
  5. Step 5: Solve for x
    x = 68,232,225.25/9,297.72
  6. Step 6: Final answer
    x = 7,338.60

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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.