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Finding the Fourth Proportional to 7,035.51, 9,704.78 and 4,645.51

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Solution

The fourth proportional to 7,035.51, 9,704.78 and 4,645.51 is: 6,408.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.51 : 9,704.78 = 4,645.51 : x
  2. Step 2: Convert to fraction form
    7,035.51/9,704.78 = 4,645.51/x
  3. Step 3: Cross multiply
    7,035.51x = 9,704.78 × 4,645.51
  4. Step 4: Simplify right side
    7,035.51x = 45,083,622.47
  5. Step 5: Solve for x
    x = 45,083,622.47/7,035.51
  6. Step 6: Final answer
    x = 6,408.01

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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.