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Finding the Fourth Proportional to 7,064.56, 9,747.37 and 4,232.40

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Solution

The fourth proportional to 7,064.56, 9,747.37 and 4,232.40 is: 5,839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.56 : 9,747.37 = 4,232.40 : x
  2. Step 2: Convert to fraction form
    7,064.56/9,747.37 = 4,232.40/x
  3. Step 3: Cross multiply
    7,064.56x = 9,747.37 × 4,232.40
  4. Step 4: Simplify right side
    7,064.56x = 41,254,768.79
  5. Step 5: Solve for x
    x = 41,254,768.79/7,064.56
  6. Step 6: Final answer
    x = 5,839.68

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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.