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Finding the Fourth Proportional to 14,027.84, 19,357 and 8,284.40

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Solution

The fourth proportional to 14,027.84, 19,357 and 8,284.40 is: 11,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,027.84 : 19,357 = 8,284.40 : x
  2. Step 2: Convert to fraction form
    14,027.84/19,357 = 8,284.40/x
  3. Step 3: Cross multiply
    14,027.84x = 19,357 × 8,284.40
  4. Step 4: Simplify right side
    14,027.84x = 160,361,130.80
  5. Step 5: Solve for x
    x = 160,361,130.80/14,027.84
  6. Step 6: Final answer
    x = 11,431.63

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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.