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Finding the Fourth Proportional to 14,393.34, 19,854.90 and 9,209.48

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Solution

The fourth proportional to 14,393.34, 19,854.90 and 9,209.48 is: 12,704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,393.34 : 19,854.90 = 9,209.48 : x
  2. Step 2: Convert to fraction form
    14,393.34/19,854.90 = 9,209.48/x
  3. Step 3: Cross multiply
    14,393.34x = 19,854.90 × 9,209.48
  4. Step 4: Simplify right side
    14,393.34x = 182,853,205.18
  5. Step 5: Solve for x
    x = 182,853,205.18/14,393.34
  6. Step 6: Final answer
    x = 12,704.01

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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.