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Finding the Fourth Proportional to 9,488.70, 13,077.99 and 6,965.55

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Solution

The fourth proportional to 9,488.70, 13,077.99 and 6,965.55 is: 9,600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.70 : 13,077.99 = 6,965.55 : x
  2. Step 2: Convert to fraction form
    9,488.70/13,077.99 = 6,965.55/x
  3. Step 3: Cross multiply
    9,488.70x = 13,077.99 × 6,965.55
  4. Step 4: Simplify right side
    9,488.70x = 91,095,393.24
  5. Step 5: Solve for x
    x = 91,095,393.24/9,488.70
  6. Step 6: Final answer
    x = 9,600.41

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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.