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Finding the Fourth Proportional to 9,929.81, 13,703.51 and 5,950.15

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Solution

The fourth proportional to 9,929.81, 13,703.51 and 5,950.15 is: 8,211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.81 : 13,703.51 = 5,950.15 : x
  2. Step 2: Convert to fraction form
    9,929.81/13,703.51 = 5,950.15/x
  3. Step 3: Cross multiply
    9,929.81x = 13,703.51 × 5,950.15
  4. Step 4: Simplify right side
    9,929.81x = 81,537,876.02
  5. Step 5: Solve for x
    x = 81,537,876.02/9,929.81
  6. Step 6: Final answer
    x = 8,211.43

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1.5x scale

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.