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Finding the Fourth Proportional to 12,307, 16,984.02 and 6,718.36

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Solution

The fourth proportional to 12,307, 16,984.02 and 6,718.36 is: 9,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307 : 16,984.02 = 6,718.36 : x
  2. Step 2: Convert to fraction form
    12,307/16,984.02 = 6,718.36/x
  3. Step 3: Cross multiply
    12,307x = 16,984.02 × 6,718.36
  4. Step 4: Simplify right side
    12,307x = 114,104,760.61
  5. Step 5: Solve for x
    x = 114,104,760.61/12,307
  6. Step 6: Final answer
    x = 9,271.53

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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.