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Finding the Fourth Proportional to 9,297.16, 12,829.73 and 5,318.64

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Solution

The fourth proportional to 9,297.16, 12,829.73 and 5,318.64 is: 7,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.16 : 12,829.73 = 5,318.64 : x
  2. Step 2: Convert to fraction form
    9,297.16/12,829.73 = 5,318.64/x
  3. Step 3: Cross multiply
    9,297.16x = 12,829.73 × 5,318.64
  4. Step 4: Simplify right side
    9,297.16x = 68,236,688.57
  5. Step 5: Solve for x
    x = 68,236,688.57/9,297.16
  6. Step 6: Final answer
    x = 7,339.52

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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.