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Finding the Fourth Proportional to 14,236.21, 19,614 and 9,925.30

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Solution

The fourth proportional to 14,236.21, 19,614 and 9,925.30 is: 13,674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,236.21 : 19,614 = 9,925.30 : x
  2. Step 2: Convert to fraction form
    14,236.21/19,614 = 9,925.30/x
  3. Step 3: Cross multiply
    14,236.21x = 19,614 × 9,925.30
  4. Step 4: Simplify right side
    14,236.21x = 194,674,834.20
  5. Step 5: Solve for x
    x = 194,674,834.20/14,236.21
  6. Step 6: Final answer
    x = 13,674.63

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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.