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Finding the Fourth Proportional to 9,501, 14,251.84 and 3,261.58

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Solution

The fourth proportional to 9,501, 14,251.84 and 3,261.58 is: 4,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501 : 14,251.84 = 3,261.58 : x
  2. Step 2: Convert to fraction form
    9,501/14,251.84 = 3,261.58/x
  3. Step 3: Cross multiply
    9,501x = 14,251.84 × 3,261.58
  4. Step 4: Simplify right side
    9,501x = 46,483,516.31
  5. Step 5: Solve for x
    x = 46,483,516.31/9,501
  6. Step 6: Final answer
    x = 4,892.49

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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.