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Finding the Fourth Proportional to 9,854.92, 14,780.22 and 2,930.68

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Solution

The fourth proportional to 9,854.92, 14,780.22 and 2,930.68 is: 4,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.92 : 14,780.22 = 2,930.68 : x
  2. Step 2: Convert to fraction form
    9,854.92/14,780.22 = 2,930.68/x
  3. Step 3: Cross multiply
    9,854.92x = 14,780.22 × 2,930.68
  4. Step 4: Simplify right side
    9,854.92x = 43,316,095.15
  5. Step 5: Solve for x
    x = 43,316,095.15/9,854.92
  6. Step 6: Final answer
    x = 4,395.38

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1.5x scale

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.