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Finding the Fourth Proportional to 9,226.58, 12,729 and 5,683.64

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Solution

The fourth proportional to 9,226.58, 12,729 and 5,683.64 is: 7,841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.58 : 12,729 = 5,683.64 : x
  2. Step 2: Convert to fraction form
    9,226.58/12,729 = 5,683.64/x
  3. Step 3: Cross multiply
    9,226.58x = 12,729 × 5,683.64
  4. Step 4: Simplify right side
    9,226.58x = 72,346,989.92
  5. Step 5: Solve for x
    x = 72,346,989.92/9,226.58
  6. Step 6: Final answer
    x = 7,841.15

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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.