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Finding the Fourth Proportional to 12,614.36, 17,404.75 and 8,307

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Solution

The fourth proportional to 12,614.36, 17,404.75 and 8,307 is: 11,461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.36 : 17,404.75 = 8,307 : x
  2. Step 2: Convert to fraction form
    12,614.36/17,404.75 = 8,307/x
  3. Step 3: Cross multiply
    12,614.36x = 17,404.75 × 8,307
  4. Step 4: Simplify right side
    12,614.36x = 144,581,258.25
  5. Step 5: Solve for x
    x = 144,581,258.25/12,614.36
  6. Step 6: Final answer
    x = 11,461.64

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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.