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Finding the Fourth Proportional to 9,497.15, 14,248.89 and 5,983.10

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Solution

The fourth proportional to 9,497.15, 14,248.89 and 5,983.10 is: 8,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.15 : 14,248.89 = 5,983.10 : x
  2. Step 2: Convert to fraction form
    9,497.15/14,248.89 = 5,983.10/x
  3. Step 3: Cross multiply
    9,497.15x = 14,248.89 × 5,983.10
  4. Step 4: Simplify right side
    9,497.15x = 85,252,462.51
  5. Step 5: Solve for x
    x = 85,252,462.51/9,497.15
  6. Step 6: Final answer
    x = 8,976.64

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Similar ratio
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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.