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Finding the Fourth Proportional to 14,117.94, 19,482.98 and 7,745.09

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Solution

The fourth proportional to 14,117.94, 19,482.98 and 7,745.09 is: 10,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.94 : 19,482.98 = 7,745.09 : x
  2. Step 2: Convert to fraction form
    14,117.94/19,482.98 = 7,745.09/x
  3. Step 3: Cross multiply
    14,117.94x = 19,482.98 × 7,745.09
  4. Step 4: Simplify right side
    14,117.94x = 150,897,297.43
  5. Step 5: Solve for x
    x = 150,897,297.43/14,117.94
  6. Step 6: Final answer
    x = 10,688.34

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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.