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Finding the Fourth Proportional to 7,160.06, 9,877.06 and 4,174.80

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Solution

The fourth proportional to 7,160.06, 9,877.06 and 4,174.80 is: 5,759.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.06 : 9,877.06 = 4,174.80 : x
  2. Step 2: Convert to fraction form
    7,160.06/9,877.06 = 4,174.80/x
  3. Step 3: Cross multiply
    7,160.06x = 9,877.06 × 4,174.80
  4. Step 4: Simplify right side
    7,160.06x = 41,234,739.65
  5. Step 5: Solve for x
    x = 41,234,739.65/7,160.06
  6. Step 6: Final answer
    x = 5,759.00

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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.