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Finding the Fourth Proportional to 7,434.60, 10,263.14 and 4,783.48

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Solution

The fourth proportional to 7,434.60, 10,263.14 and 4,783.48 is: 6,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.60 : 10,263.14 = 4,783.48 : x
  2. Step 2: Convert to fraction form
    7,434.60/10,263.14 = 4,783.48/x
  3. Step 3: Cross multiply
    7,434.60x = 10,263.14 × 4,783.48
  4. Step 4: Simplify right side
    7,434.60x = 49,093,524.93
  5. Step 5: Solve for x
    x = 49,093,524.93/7,434.60
  6. Step 6: Final answer
    x = 6,603.38

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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.