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Finding the Fourth Proportional to 9,599.64, 14,397.30 and 3,443.64

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Solution

The fourth proportional to 9,599.64, 14,397.30 and 3,443.64 is: 5,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.64 : 14,397.30 = 3,443.64 : x
  2. Step 2: Convert to fraction form
    9,599.64/14,397.30 = 3,443.64/x
  3. Step 3: Cross multiply
    9,599.64x = 14,397.30 × 3,443.64
  4. Step 4: Simplify right side
    9,599.64x = 49,579,167.08
  5. Step 5: Solve for x
    x = 49,579,167.08/9,599.64
  6. Step 6: Final answer
    x = 5,164.69

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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.