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Finding the Fourth Proportional to 9,265.86, 12,783.21 and 5,286.42

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Solution

The fourth proportional to 9,265.86, 12,783.21 and 5,286.42 is: 7,293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.86 : 12,783.21 = 5,286.42 : x
  2. Step 2: Convert to fraction form
    9,265.86/12,783.21 = 5,286.42/x
  3. Step 3: Cross multiply
    9,265.86x = 12,783.21 × 5,286.42
  4. Step 4: Simplify right side
    9,265.86x = 67,577,417.01
  5. Step 5: Solve for x
    x = 67,577,417.01/9,265.86
  6. Step 6: Final answer
    x = 7,293.16

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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.