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Finding the Fourth Proportional to 7,260.09, 10,014.15 and 5,765.64

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Solution

The fourth proportional to 7,260.09, 10,014.15 and 5,765.64 is: 7,952.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260.09 : 10,014.15 = 5,765.64 : x
  2. Step 2: Convert to fraction form
    7,260.09/10,014.15 = 5,765.64/x
  3. Step 3: Cross multiply
    7,260.09x = 10,014.15 × 5,765.64
  4. Step 4: Simplify right side
    7,260.09x = 57,737,983.81
  5. Step 5: Solve for x
    x = 57,737,983.81/7,260.09
  6. Step 6: Final answer
    x = 7,952.79

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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.