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Finding the Fourth Proportional to 14,033.61, 19,365 and 7,745.58

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Solution

The fourth proportional to 14,033.61, 19,365 and 7,745.58 is: 10,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033.61 : 19,365 = 7,745.58 : x
  2. Step 2: Convert to fraction form
    14,033.61/19,365 = 7,745.58/x
  3. Step 3: Cross multiply
    14,033.61x = 19,365 × 7,745.58
  4. Step 4: Simplify right side
    14,033.61x = 149,993,156.70
  5. Step 5: Solve for x
    x = 149,993,156.70/14,033.61
  6. Step 6: Final answer
    x = 10,688.14

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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.