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Finding the Fourth Proportional to 9,077.70, 13,580.10 and 7,858.65

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Solution

The fourth proportional to 9,077.70, 13,580.10 and 7,858.65 is: 11,756.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.70 : 13,580.10 = 7,858.65 : x
  2. Step 2: Convert to fraction form
    9,077.70/13,580.10 = 7,858.65/x
  3. Step 3: Cross multiply
    9,077.70x = 13,580.10 × 7,858.65
  4. Step 4: Simplify right side
    9,077.70x = 106,721,252.87
  5. Step 5: Solve for x
    x = 106,721,252.87/9,077.70
  6. Step 6: Final answer
    x = 11,756.42

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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.