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Finding the Fourth Proportional to 7,064.63, 9,749.14 and 3,920.82

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Solution

The fourth proportional to 7,064.63, 9,749.14 and 3,920.82 is: 5,410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.63 : 9,749.14 = 3,920.82 : x
  2. Step 2: Convert to fraction form
    7,064.63/9,749.14 = 3,920.82/x
  3. Step 3: Cross multiply
    7,064.63x = 9,749.14 × 3,920.82
  4. Step 4: Simplify right side
    7,064.63x = 38,224,623.09
  5. Step 5: Solve for x
    x = 38,224,623.09/7,064.63
  6. Step 6: Final answer
    x = 5,410.70

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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.