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Finding the Fourth Proportional to 9,929.12, 13,702.64 and 5,950.14

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Solution

The fourth proportional to 9,929.12, 13,702.64 and 5,950.14 is: 8,211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.12 : 13,702.64 = 5,950.14 : x
  2. Step 2: Convert to fraction form
    9,929.12/13,702.64 = 5,950.14/x
  3. Step 3: Cross multiply
    9,929.12x = 13,702.64 × 5,950.14
  4. Step 4: Simplify right side
    9,929.12x = 81,532,596.62
  5. Step 5: Solve for x
    x = 81,532,596.62/9,929.12
  6. Step 6: Final answer
    x = 8,211.47

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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.