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Finding the Fourth Proportional to 9,913.39, 14,854.31 and 5,233.23

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Solution

The fourth proportional to 9,913.39, 14,854.31 and 5,233.23 is: 7,841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.39 : 14,854.31 = 5,233.23 : x
  2. Step 2: Convert to fraction form
    9,913.39/14,854.31 = 5,233.23/x
  3. Step 3: Cross multiply
    9,913.39x = 14,854.31 × 5,233.23
  4. Step 4: Simplify right side
    9,913.39x = 77,735,994.56
  5. Step 5: Solve for x
    x = 77,735,994.56/9,913.39
  6. Step 6: Final answer
    x = 7,841.51

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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.