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Finding the Fourth Proportional to 7,666.80, 10,580.16 and 4,309.60

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Solution

The fourth proportional to 7,666.80, 10,580.16 and 4,309.60 is: 5,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.80 : 10,580.16 = 4,309.60 : x
  2. Step 2: Convert to fraction form
    7,666.80/10,580.16 = 4,309.60/x
  3. Step 3: Cross multiply
    7,666.80x = 10,580.16 × 4,309.60
  4. Step 4: Simplify right side
    7,666.80x = 45,596,257.54
  5. Step 5: Solve for x
    x = 45,596,257.54/7,666.80
  6. Step 6: Final answer
    x = 5,947.23

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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.