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Finding the Fourth Proportional to 7,106.84, 10,648.50 and 4,325.10

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Solution

The fourth proportional to 7,106.84, 10,648.50 and 4,325.10 is: 6,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.84 : 10,648.50 = 4,325.10 : x
  2. Step 2: Convert to fraction form
    7,106.84/10,648.50 = 4,325.10/x
  3. Step 3: Cross multiply
    7,106.84x = 10,648.50 × 4,325.10
  4. Step 4: Simplify right side
    7,106.84x = 46,055,771.20
  5. Step 5: Solve for x
    x = 46,055,771.20/7,106.84
  6. Step 6: Final answer
    x = 6,480.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.