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Finding the Fourth Proportional to 9,241.61, 13,863.59 and 4,242.77

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Solution

The fourth proportional to 9,241.61, 13,863.59 and 4,242.77 is: 6,364.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.61 : 13,863.59 = 4,242.77 : x
  2. Step 2: Convert to fraction form
    9,241.61/13,863.59 = 4,242.77/x
  3. Step 3: Cross multiply
    9,241.61x = 13,863.59 × 4,242.77
  4. Step 4: Simplify right side
    9,241.61x = 58,819,933.21
  5. Step 5: Solve for x
    x = 58,819,933.21/9,241.61
  6. Step 6: Final answer
    x = 6,364.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.