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Finding the Fourth Proportional to 9,214.01, 12,720 and 5,438.33

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Solution

The fourth proportional to 9,214.01, 12,720 and 5,438.33 is: 7,507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.01 : 12,720 = 5,438.33 : x
  2. Step 2: Convert to fraction form
    9,214.01/12,720 = 5,438.33/x
  3. Step 3: Cross multiply
    9,214.01x = 12,720 × 5,438.33
  4. Step 4: Simplify right side
    9,214.01x = 69,175,494
  5. Step 5: Solve for x
    x = 69,175,494/9,214.01
  6. Step 6: Final answer
    x = 7,507.65

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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.