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Finding the Fourth Proportional to 9,241.76, 13,865.30 and 4,314.32

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Solution

The fourth proportional to 9,241.76, 13,865.30 and 4,314.32 is: 6,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.76 : 13,865.30 = 4,314.32 : x
  2. Step 2: Convert to fraction form
    9,241.76/13,865.30 = 4,314.32/x
  3. Step 3: Cross multiply
    9,241.76x = 13,865.30 × 4,314.32
  4. Step 4: Simplify right side
    9,241.76x = 59,819,341.10
  5. Step 5: Solve for x
    x = 59,819,341.10/9,241.76
  6. Step 6: Final answer
    x = 6,472.72

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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.