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Finding the Fourth Proportional to 9,557, 14,331.82 and 3,712.84

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Solution

The fourth proportional to 9,557, 14,331.82 and 3,712.84 is: 5,567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557 : 14,331.82 = 3,712.84 : x
  2. Step 2: Convert to fraction form
    9,557/14,331.82 = 3,712.84/x
  3. Step 3: Cross multiply
    9,557x = 14,331.82 × 3,712.84
  4. Step 4: Simplify right side
    9,557x = 53,211,754.57
  5. Step 5: Solve for x
    x = 53,211,754.57/9,557
  6. Step 6: Final answer
    x = 5,567.83

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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.