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Finding the Fourth Proportional to 7,666.47, 10,580.22 and 4,309.47

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Solution

The fourth proportional to 7,666.47, 10,580.22 and 4,309.47 is: 5,947.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.47 : 10,580.22 = 4,309.47 : x
  2. Step 2: Convert to fraction form
    7,666.47/10,580.22 = 4,309.47/x
  3. Step 3: Cross multiply
    7,666.47x = 10,580.22 × 4,309.47
  4. Step 4: Simplify right side
    7,666.47x = 45,595,140.68
  5. Step 5: Solve for x
    x = 45,595,140.68/7,666.47
  6. Step 6: Final answer
    x = 5,947.34

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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.