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Finding the Fourth Proportional to 9,174.65, 12,661.02 and 4,982.90

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Solution

The fourth proportional to 9,174.65, 12,661.02 and 4,982.90 is: 6,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.65 : 12,661.02 = 4,982.90 : x
  2. Step 2: Convert to fraction form
    9,174.65/12,661.02 = 4,982.90/x
  3. Step 3: Cross multiply
    9,174.65x = 12,661.02 × 4,982.90
  4. Step 4: Simplify right side
    9,174.65x = 63,088,533.25
  5. Step 5: Solve for x
    x = 63,088,533.25/9,174.65
  6. Step 6: Final answer
    x = 6,876.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.