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Finding the Fourth Proportional to 7,062.41, 9,750.71 and 4,823.46

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Solution

The fourth proportional to 7,062.41, 9,750.71 and 4,823.46 is: 6,659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.41 : 9,750.71 = 4,823.46 : x
  2. Step 2: Convert to fraction form
    7,062.41/9,750.71 = 4,823.46/x
  3. Step 3: Cross multiply
    7,062.41x = 9,750.71 × 4,823.46
  4. Step 4: Simplify right side
    7,062.41x = 47,032,135.54
  5. Step 5: Solve for x
    x = 47,032,135.54/7,062.41
  6. Step 6: Final answer
    x = 6,659.51

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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.