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Finding the Fourth Proportional to 9,256.96, 12,774.64 and 5,065.44

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Solution

The fourth proportional to 9,256.96, 12,774.64 and 5,065.44 is: 6,990.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.96 : 12,774.64 = 5,065.44 : x
  2. Step 2: Convert to fraction form
    9,256.96/12,774.64 = 5,065.44/x
  3. Step 3: Cross multiply
    9,256.96x = 12,774.64 × 5,065.44
  4. Step 4: Simplify right side
    9,256.96x = 64,709,172.44
  5. Step 5: Solve for x
    x = 64,709,172.44/9,256.96
  6. Step 6: Final answer
    x = 6,990.33

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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.