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Finding the Fourth Proportional to 9,830.87, 14,729.90 and 6,903.93

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Solution

The fourth proportional to 9,830.87, 14,729.90 and 6,903.93 is: 10,344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.87 : 14,729.90 = 6,903.93 : x
  2. Step 2: Convert to fraction form
    9,830.87/14,729.90 = 6,903.93/x
  3. Step 3: Cross multiply
    9,830.87x = 14,729.90 × 6,903.93
  4. Step 4: Simplify right side
    9,830.87x = 101,694,258.06
  5. Step 5: Solve for x
    x = 101,694,258.06/9,830.87
  6. Step 6: Final answer
    x = 10,344.38

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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.